# MSC number index 3

**30-XX - Functions of a complex variable****30B50**- 10/2006 - Renormalization : A number theoretical model

**30C20**- 11/2005 - Eigenfrequencies of fractal drums

**30C62**- 70/2004 - Convex integration and the L
^{p}theory of elliptic equations.

- 70/2004 - Convex integration and the L
**30C65****30C70**- 92/2019 - Stability estimates for the conformal group of 𝕊
^{n−1}in dimension n ≥ 3

- 92/2019 - Stability estimates for the conformal group of 𝕊
**30C99**- 115/2002 - A Rough Lipschitz Function

**30D55**- 115/2002 - A Rough Lipschitz Function

**30F**- 84/2004 - Laminations dans les espaces projectifs complexes

**30F10****30F30****30F35**(Fuchsian groups and automorphic functions)**30F40****30F60****30G35**- 95/2013 - Applications of hypercomplex automorphic forms in Yang-Mills gauge theories

**30L99**- 25/2014 - Harmonic functions on metric measure spaces

**31-XX - Potential theory****31A10**- 53/2006 - About solutions of Poisson's equation with transition condition in non-smooth domains

**31B05****31B10**- 53/2006 - About solutions of Poisson's equation with transition condition in non-smooth domains

**31C05****31C15****31C20****32**- 74/2003 - Equivariant Rational maps and Configurations: spherical equidistribution and SO(N,1) contraction

**32A36**- 85/2002 - The Bergman metric and the pluricomplex Green function

**32B30****32C40****32D15**- 83/2008 - Adapted complex structures and the geodesic flow

**32G13**- 10/2008 - Witten's Volume Formula, Cohomological Pairings of Moduli Space of Flat Connections and Applications of Multiple Zeta Functions

**32G15****32G20****32J25**- 100/2018 - A numerical transcendental method in algebraic geometry

**32L05**- 72/2009 - Families of Line Bundles over Riemann Surfaces, their Sections, and their Degenerations -- A Constructive Approach using Automorphic Forms

**32N10****32Q15**- 83/2008 - Adapted complex structures and the geodesic flow

**32U35**- 85/2002 - The Bergman metric and the pluricomplex Green function

**32W10**- 84/2004 - Laminations dans les espaces projectifs complexes

**33-XX - Special functions****33C10**- 13/2014 - Hierarchical matrices and the High-Frequency Fast Multipole Method for the Helmholtz Equation with Decay

**33E05**- 55/2002 - Elliptic functions and temperature inversion symmetry on spheres

**33F05**- 10/2013 - Alternating minimal energy methods for linear systems in higher dimensions. Part I: SPD systems
- 24/2012 - Efficient time-stepping scheme for dynamics on TT-manifolds
- 19/2012 - Two-level Tucker-TT-QTT format for optimized tensor calculus
- 80/2011 - Fast solution of multi-dimensional parabolic problems in the TT/QTT-format with initial application to the Fokker-Planck equation

**33J05**- 17/2005 - - and
^{2}-matrices for low and high frequency Helmholtz equation

- 17/2005 - - and
**34-XX**(Ordinary differential equations)**34A05****34A12****34A26**- 39/2009 - Higher-order Abel equations: Lagrangian formalism, Darboux polynomials and constants of the motion

**34A34**- 39/2009 - Higher-order Abel equations: Lagrangian formalism, Darboux polynomials and constants of the motion

**34A60****34B05**- 55/2003 - The Morse index theorem for regular Lagrangian systems

**34B08****34B15**(Nonlinear boundary value problems)**34B16****34B40**- 45/2015 - Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law

**34C14****34C15**- 104/2013 - Spatially structured networks of pulse-coupled phase oscillators on metric spaces
- 5/2013 - Stationary states in infinite networks of spiking oscillators with noise
- 15/2004 - Oscillator death in coupled functional differential equations near Hopf bifurcation
- 89/2002 - Total and partial amplitude death in networks of diffusively coupled oscillators

**34C20****34C23**- 110/2013 - Patterns from bifurcations: A symmetry analysis of networks with delayed coupling

**34C25****34C26****34C28**- 108/2013 - Closure Measures and the Tent Map

**34C29**- 64/2013 - Averaging via Dirichlet Forms

**34C30**- 43/2009 - Geometric singular perturbation analysis of an autocatalator model

**34C37****34C4**- 70/2015 - Characterization of Exact Lumpability of Smooth Dynamics on Manifolds

**34C40**- 43/2009 - Geometric singular perturbation analysis of an autocatalator model

**34C45****34C55**- 25/2015 - Spatially discrete reaction-diffusion equations with discontinuous hysteresis

**34C99**- 51/2008 - Solutions of some second order ODEs by the extended Prelle-Singer method and symmetrics

**34D06**- 110/2014 - On the duality between consensus problems and Markov processes, with application to delay systems

**34D23****34E05****34E10**- 45/2015 - Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law

**34E13**- 138/2006 - Numerical Method for Elliptic Multiscale Problems

**34E15****34E2**- 43/2009 - Geometric singular perturbation analysis of an autocatalator model

**34G20**- 50/2011 - Stability of solutions to abstract evolution equations with delay

**34K**- 89/2002 - Total and partial amplitude death in networks of diffusively coupled oscillators

**34K06**- 110/2014 - On the duality between consensus problems and Markov processes, with application to delay systems

**34K14**- 53/2007 - Almost periodic dynamics of a class of delayed neural networks with discontinuous activations

**34K20**- 50/2011 - Stability of solutions to abstract evolution equations with delay
- 61/2007 - R
_{+}^{n}-global stability of Cohen-Grossberg neural network system with nonnegative equilibria - 32/2007 - Delayed feedback control near Hopf bifurcation
- 122/2006 - Stability of traffic flow with distributed delays modeling the memory effects of the drivers
- 15/2004 - Oscillator death in coupled functional differential equations near Hopf bifurcation
- 23/2003 - Distributed delays facilitate amplitude death of coupled oscillators

**34K26**- 69/2009 - Approximation of the Helfrich's functional via Diffuse Interfaces

**34K31**- 10/2016 - Rattling in spatially discrete diffusion equations with hysteresis

**34K35**- 32/2007 - Delayed feedback control near Hopf bifurcation

**34K60**- 122/2006 - Stability of traffic flow with distributed delays modeling the memory effects of the drivers

**34K99**- 31/2005 - Neural fields with distributed transmission speeds and corticothalamic feedback delays

**34L16**- 52/2007 - Numerical computation of inner eigenvalues using the Dunford Cauchy integral

**34M37**- 34/2009 - Shatalov-Sternin's construction of complex WKB solutions -- a comment on geometric issues.

**35****35-XX - Partial differential equations****35A01****35A02****35A09**- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation

**35A15**(Variational methods )- 32/2019 - Global Minimizers for Anisotropic Attractive-Repulsive Interactions
- 52/2017 - Brakke’s inequality for the thresholding scheme
- 37/2016 - Convergence of the Allen-Cahn Equation to multi-phase mean-curvature flow
- 52/2010 - A compactness result for Landau state in thin-film micromagnetics
- 85/2008 - A sharp interface model for the propagation of martensitic phase boundaries
- 32/2000 - Variational formulation for the lubrication approximation of the Hele-Shaw flow
- 31/1998 - On a volume constrained variational problem

**35A20**- 80/2019 - Energy quantization for a singular super-Liouville boundary value problem

**35A35****35B**- 102/2018 - Some quantitative homogenization results in a simple case of interface

**35B2**- 61/2013 - On the general homogenization and Γ-closure for the equations of von Kármán plate from 3D nonlinear elasticity

**35B20****35B25****35B27**(Homogenization, partial differential equations in media with periodic structure)- 5/2020 - Quantitative homogenization for the case of an interface between two heterogeneous media
- 46/2016 - On the Exit Time and Stochastic Homogenization of Isotropic Diffusions in Large Domains
- 45/2016 - Exit Laws of Isotropic Diffusions in Random Environment from Large Domains
- 34/2016 - Green's function for elliptic systems: Existence and Delmotte-Deuschel bounds
- 25/2016 - Quantitative homogenization of degenerate random environments
- 13/2015 - On annealed elliptic Green function estimates
- 11/2015 - Correlation structure of the corrector in stochastic homogenization
- 71/2014 - Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
- 91/2013 - Quantification of ergodicity in stochastic homogenization: Optimal bounds via spectral gap on Glauber dynamics
- 41/2013 - An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
- 40/2013 - Homogenization of the nonlinear bending theory for plates
- 34/2013 - A note on the derivation of homogenized bending plate model
- 3/2013 - Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version
- 69/2012 - Annealed estimates on the Green's function
- 61/2012 - Derivation of a Homogenized Von-Kármán Plate Theory from 3d Nonlinear Elasticity
- 74/2011 - Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from 3d elasticity
- 73/2010 - Commutability of homogenization and linearization at identity in finite elasticity and applications
- 28/2010 - An optimal error estimate in stochastic homogenization of discrete elliptic equations
- 34/2008 - Diffractive geometric optics for Bloch wave packets
- 103/2007 - Diffractive behavior of the wave equation in periodic media: weak convergence analysis
- 76/2007 - Pulsating Wave for Mean Curvature Flow in Inhomogeneous Medium
- 88/2005 - Traveling wave speeds in rapidly oscillating media
- 50/2005 - Pinning and De-Pinning Phenomena in Front Propagation in Heterogeneous Media
- 25/2002 - On first-order corrections to the LSW-theory
- 21/1998 - Homogenization of periodic multi-dimensional structures

**35B30**- 3/2003 - From 1970 until present: the Keller-Segel model in chemotaxis and its consequences

**35B32****35B33**- 8/2003 - Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition

**35B34**- 34/2008 - Diffractive geometric optics for Bloch wave packets

**35B35**(Stability, boundedness)- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 7/2008 - Compensated Compactness, Separately convex Functions and Interpolatory Estimates between Riesz Transforms and Haar Projections
- 39/2003 - Stability of Gradient K\"ahler-Ricci Solitons
- 29/1999 - Rank-one convexity implies quasiconvexity on diagonal matrices

**35B36**- 10/2016 - Rattling in spatially discrete diffusion equations with hysteresis
- 35/2015 - Recent Advances in Reaction-Diffusion Equations with Non-Ideal Relays
- 25/2015 - Spatially discrete reaction-diffusion equations with discontinuous hysteresis
- 1/2015 - Asymmetric domain walls of small angle in soft ferromagnetic films
- 38/2012 - Coarsening rates for the dynamics of slipping droplets
- 33/2012 - A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types.

**35B37****35B40**(Asymptotic behavior of solutions )- 36/2007 (
*Lecture note*) - Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible Fluids - 101/2018 - Numerical approximation of Poisson problems in long domains
- 27/2015 - Relaxation rates for a perturbation of a stationary solution to the thin-film equation
- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 41/2011 - Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian
- 34/2008 - Diffractive geometric optics for Bloch wave packets
- 76/2007 - Pulsating Wave for Mean Curvature Flow in Inhomogeneous Medium
- 15/2007 - On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities
- 56/2006 - Convergence to Equilibrium for the Cahn-Hilliard Equation with a Logarithmic Free Energy
- 50/2005 - Pinning and De-Pinning Phenomena in Front Propagation in Heterogeneous Media
- 39/2005 - Rigorous Numerics for Dissipative PDEs III. An effective algorithm for rigorous computation of trajectories and Poincaré maps
- 53/2004 - Large-time behavior for viscous and non-viscous Hamilton-Jacobi equations forced by additive noise
- 9/2003 - Blow-up of positive solutions of a semilinear parabolic equation with a gradient term
- 108/2002 - On the Optimality of Velocity Averaging Lemmas
- 75/2002 - On temporal asymptotics for the p'th power viscous reacitve gas
- 81/2001 - Concentration phenomena for the volume functional in unbounded domains:

Identification of concentration points - 78/2001 - A constructive approach to traveling waves in chemotaxis
- 7/2001 - Concentration of low energy extremals: Identification of concentration points

- 36/2007 (
**35B41****35B44****35B45****35B50**- 18/2010 - A counter example to weak maximum principles for locally vanishing elliptic operators
- 6/2008 - Some remarks on the strong maximum principle arising in nonlocal operators
- 88/2005 - Traveling wave speeds in rapidly oscillating media
- 1/2004 - Traveling wave speeds of nonlocally perturbed reaction diffusion equations
- 22/2003 - Singular limit of a degenerate chemotaxis-Fisher equation

**35B53**- 47/2016 - A Liouville theorem for elliptic systems with degenerate ergodic coefficients

**35B65**(Smoothness and regularity of solutions of PDE)- 6/2017 - Coarse Regularity of Solutions to a Nonlinear Sigma-model with L
^{p}gravitino - 68/2016 - Regularity of Solutions of the Nonlinear Sigma Model with Gravitino
- 60/2016 - Heat kernel upper bounds for interacting particle systems
- 47/2016 - A Liouville theorem for elliptic systems with degenerate ergodic coefficients
- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 35/2014 - Lp-gradient harmonic maps into spheres and SO(N)
- 6/2014 - Integro-differential harmonic maps into spheres
- 47/2012 - Frequency Explicit Regularity Estimates for the Electric Field Integral Operator
- 41/2012 - ϵ-regularity for systems involving non-local, antisymmetric operators
- 23/2012 - Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3
- 64/2010 - Regularity of solutions to a time-fractional diffusion equation
- 15/2007 - On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities
- 120/2006 - C
^{1,α}Regularity for Solutions to the p-Harmonic thin Obstacle Problem. - 109/2006 - The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels
- 41/2005 - Compactness and Sobolev-Poincaré inequalities for solutions of kinetic equations
- 4/2004 - Regularity properties of isometric immersions
- 68/2003 - On the regularity of critical points of polyconvex functionals
- 11/2003 - Parabolic systems with nowhere smooth solutions
- 9/2002 - Local stress regularity in scalar non-convex variational problems
- 55/1998 - Singular solutions of the capillary problem

- 6/2017 - Coarse Regularity of Solutions to a Nonlinear Sigma-model with L
**35B99**(None of the above, but in this section )- 74/2000 - Droplet spreading: intermediate scaling law by PDE methods

**35C06****35C20**(Asymptotic expansions )- 88/2005 - Traveling wave speeds in rapidly oscillating media
- 78/2005 - On the numerical solution of convection-dominated problems using hierarchical matrices
- 8/2005 - Why approximate LU decompositions of finite element discretizations of elliptic operators can be computed with almost linear complexity
- 6/2004 - Efficient Inversion of the Galerkin Matrix of General Second Order Elliptic Operators with Non-Smooth Coefficients
- 1/2004 - Traveling wave speeds of nonlocally perturbed reaction diffusion equations
- 5/2003 - Approximation of boundary element operators by adaptive
^{2}-matrices - 21/2002 - Existence of -Matrix Approximants to the Inverse FE-Matrix of Elliptic Operators with L
^{∞}-Coefficients - 86/2001 - Data-sparse approximation by adaptive -Matrices
- 50/1999 - On H
^{2}-Matrices

**35D05**(Existence of generalized solutions)- 69/2008 - Evolution by mean curvature flow in sub-Riemannian geometries: a stochastic approach
- 37/2008 - General existence and uniqueness of viscosity solutions for impulse control of jump-diffusions
- 100/2003 - Global Existence for a Nonlinear System in Thermoviscoelasticity with Nonconvex Energy
- 49/2002 - Studying nonlinear pde by geometry in matrix space

**35D10**(Regularity of generalized solutions)- 41/2005 - Compactness and Sobolev-Poincaré inequalities for solutions of kinetic equations
- 70/2004 - Convex integration and the L
^{p}theory of elliptic equations. - 44/2003 - Concentration estimates for entropy measures
- 107/2002 - An ϵ-regularity result for generalized harmonic maps into spheres
- 95/2002 - Structure of entropy solutions for multi--dimensional scalar conservation laws
- 47/2002 - Structure of entropy solutions: applications to variational problems
- 26/2002 - Partial regularity for the Landau-Lifshitz equation in small dimensions
- 64/2001 - An efficient direct solver for the boundary concentrated FEM in 2D
- 45/2001 - Boundary concentrated finite element methods

**35D99**(None of the above, but in this section)- 18/1998 - A-quasiconvexity, lower semicontinuity and Young measures

**35E99**(None of the above, but in this section)**35F20****35F30**(Boundary value problems for nonlinear first-order PDE )**35G05**- 32/2007 (
*Lecture note*) - Lectures on elliptic partial differential equations (Pseudodifferential operator approach)

- 32/2007 (
**35G20**- 38/2012 - Coarsening rates for the dynamics of slipping droplets

**35G25**(Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations)- 60/2001 - Time-space discretization of the nonlinear hyperbolic system

**35G30**- 16/2003 (
*Lecture note*) - Rigidity and Geometry of Microstructures

- 16/2003 (
**35G99**(None of the above, but in this section)- 34/2001 - A Gamma-convergence result for the two-gradient theory of phase transitions

**35H10**- 53/2008 - On hypoellipticity of generators of L\'{e}vy processes

**35H20**- 70/2008 - The Carnot-Caratheodory distance and the infinite Laplacian

**35J**- 28/2003 - Bounds for the Best Constant in an Improved Hardy-Sobolev Inequality

**35J05****35J08**- 34/2016 - Green's function for elliptic systems: Existence and Delmotte-Deuschel bounds
- 13/2015 - On annealed elliptic Green function estimates
- 71/2014 - Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
- 69/2012 - Annealed estimates on the Green's function
- 17/2012 - L
^{∞}estimation of tensor truncations

**35J10****35J15**- 5/2020 - Quantitative homogenization for the case of an interface between two heterogeneous media
- 11/2015 - Correlation structure of the corrector in stochastic homogenization
- 108/2014 - Tensor Numerical Methods for Multidimensional PDEs: Theoretical Analysis and Initial Applications
- 18/2014 - Local gradient estimate for harmonic functions on Finsler manifolds
- 51/2012 - Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients
- 18/2010 - A counter example to weak maximum principles for locally vanishing elliptic operators
- 2/2008 - Strict convexity of the free energy for non-convex gradient models at moderate β
- 5/2006 - Stability of Calderón inverse Conductivity Problem in the plane

**35J2**- 101/2018 - Numerical approximation of Poisson problems in long domains

**35J20**(Variational methods for second-order, elliptic equations )- 41/2011 - Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian
- 117/2005 - Nonconforming box-schemes for elliptic problems on rectangular grids
- 3/2003 - From 1970 until present: the Keller-Segel model in chemotaxis and its consequences
- 81/2001 - Concentration phenomena for the volume functional in unbounded domains:

Identification of concentration points - 7/2001 - Concentration of low energy extremals: Identification of concentration points
- 87/2000 - Some unusual comparsion properties of capillary surfaces
- 24/1998 - Regularity and optimal design results for elastic membranes

**35J25**(Boundary value problems for second-order, elliptic equations )- 46/2016 - On the Exit Time and Stochastic Homogenization of Isotropic Diffusions in Large Domains
- 45/2016 - Exit Laws of Isotropic Diffusions in Random Environment from Large Domains
- 47/2012 - Frequency Explicit Regularity Estimates for the Electric Field Integral Operator
- 44/2006 - On the De Giorgi Conjecture in Half spaces
- 42/2006 - On the Regularity of a Free Boundary Near Contact Points With a Fixed Boundary
- 41/2006 - On the Non-Tangential Touch Between the Free and Fixed Boundaries for the Two-Phase Obstacle-Like Problem
- 98/2005 - Crack initiation in elastic bodies
- 61/2003 - Schouten Tensor Equations in Conformal Geometry with Prescribed Boundary Metric
- 14/2001 - Hypersurfaces of prescribed Gauss curvature in exterior domains
- 67/1999 - Blowup in a chemotaxis model without symmetry assumptions

**35J30**- 5/2006 - Stability of Calderón inverse Conductivity Problem in the plane

**35J45**(General theory of elliptic systems of PDE)- 49/2002 - Studying nonlinear pde by geometry in matrix space

**35J46**- 6/2017 - Coarse Regularity of Solutions to a Nonlinear Sigma-model with L
^{p}gravitino

- 6/2017 - Coarse Regularity of Solutions to a Nonlinear Sigma-model with L
**35J47****35J50**(Variational methods for elliptic systems)**35J55**(Boundary value problems for elliptic systems )**35J56**- 79/2014 - Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem

**35J57**- 79/2014 - Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem

**35J6**- 43/2005 - Conformal deformations of the smallest eigenvalue of the Ricci tensor

**35J60**(Nonlinear PDE of elliptic type)- 80/2019 - Energy quantization for a singular super-Liouville boundary value problem
- 61/2016 - Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies
- 35/2014 - Lp-gradient harmonic maps into spheres and SO(N)
- 6/2014 - Integro-differential harmonic maps into spheres
- 41/2012 - ϵ-regularity for systems involving non-local, antisymmetric operators
- 80/2007 - A Brief Note on Special Lagrangian Submanifolds in ℝ
^{2n} - 63/2007 - A new approach to interior regularity of elliptic systems with quadratic growth in dimention two
- 120/2006 - C
^{1,α}Regularity for Solutions to the p-Harmonic thin Obstacle Problem. - 44/2006 - On the De Giorgi Conjecture in Half spaces
- 41/2006 - On the Non-Tangential Touch Between the Free and Fixed Boundaries for the Two-Phase Obstacle-Like Problem
- 15/2006 - An Analytic Approach to Purely Nonlocal Bellman Equations Arising in Models of Stochastic Control
- 45/2005 - Analytic Aspects of the Toda System: II. Bubbling behavior and existence of solutions
- 96/2003 - Application of The Method of Moving Planes to Conformally Invariant Equations
- 82/2003 - Geometric inequalities on locally conformally flat manifolds
- 68/2003 - On the regularity of critical points of polyconvex functionals
- 25/2003 - Boundary vortices for thin ferromagnetic films
- 6/2003 - Ginzburg-Landau vortices for thin ferromagnetic films
- 106/2002 - A short proof of the self-improving regularity of quasiregular mappings.
- 73/2002 - Some properties of the Schouten tensor and applications to conformal geometry
- 51/2002 - On a nonlinear elliptic equation arising in a free boundary problem
- 45/2002 - Energy concentration for thin films in micromagnetics
- 9/2002 - Local stress regularity in scalar non-convex variational problems
- 7/2002 - A fully nonlinear conformal flow on locally conformally flat manifolds
- 87/2000 - Some unusual comparsion properties of capillary surfaces
- 67/1999 - Blowup in a chemotaxis model without symmetry assumptions
- 55/1998 - Singular solutions of the capillary problem

**35J61**- 41/2011 - Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian

**35J65**(Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE )- 8/2003 - Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition
- 3/2003 - From 1970 until present: the Keller-Segel model in chemotaxis and its consequences
- 14/2001 - Hypersurfaces of prescribed Gauss curvature in exterior domains
- 87/2000 - Some unusual comparsion properties of capillary surfaces
- 31/1998 - On a volume constrained variational problem

**35J70**- 47/2016 - A Liouville theorem for elliptic systems with degenerate ergodic coefficients
- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps
- 64/2012 - Schauder a priori estimates and regularity of solutions to degenerate-elliptic linear second-order partial differential equations
- 50/2012 - Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations
- 31/2012 - C
^{1,1}regularity for degenerate elliptic obstacle problems in mathematical finance

**35J85**- 98/2005 - Crack initiation in elastic bodies

**35J86****35K**(Parabolic equations and systems )**35K05**- 26/2009 - Parallel multistep methods for linear evolution problems

**35K10****35K15**(Initial value problems for second-order, parabolic equations)- 66/2001 - A note on flows towards reflectors

**35K20**(Boundary value problems for second-order, parabolic equations )- 46/2016 - On the Exit Time and Stochastic Homogenization of Isotropic Diffusions in Large Domains
- 35/2015 - Recent Advances in Reaction-Diffusion Equations with Non-Ideal Relays
- 80/2011 - Fast solution of multi-dimensional parabolic problems in the TT/QTT-format with initial application to the Fokker-Planck equation
- 43/2006 - The Free Boundary Near the Fixed Boundary for the Heat Equation
- 39/2002 - Neuman and second boundary value problems for Hessian and Gauss curvature flows
- 14/2002 - Translating solutions for Gau\ss{} curvature flows with Neumann boundary condition
- 78/2001 - A constructive approach to traveling waves in chemotaxis
- 66/2001 - A note on flows towards reflectors
- 30/2001 - Translating solutions to the second boundary value problem for curvature flows
- 67/1999 - Blowup in a chemotaxis model without symmetry assumptions

**35K25**(General theory of higher-order, parabolic equations)**35K30**(Initial value problems for higher-order, parabolic equations )- 74/2000 - Droplet spreading: intermediate scaling law by PDE methods

**35K35****35K45****35K50****35K55**(Nonlinear PDE of parabolic type )- 27/2015 - Relaxation rates for a perturbation of a stationary solution to the thin-film equation
- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 1/2014 - Well-posedness for the Navier-Slip Thin-Film Equation in the Case of Complete Wetting
- 54/2012 - L
^{2}-flow of elastic curves with knot points and clamped ends - 13/2009 - Convergence of Perturbed Allen Cahn Equations to Forced Mean Curvature Flow
- 76/2007 - Pulsating Wave for Mean Curvature Flow in Inhomogeneous Medium
- 56/2006 - Convergence to Equilibrium for the Cahn-Hilliard Equation with a Logarithmic Free Energy
- 88/2005 - Traveling wave speeds in rapidly oscillating media
- 50/2005 - Pinning and De-Pinning Phenomena in Front Propagation in Heterogeneous Media
- 42/2004 - Travelling fronts in pressure-driven combustion
- 1/2004 - Traveling wave speeds of nonlocally perturbed reaction diffusion equations
- 97/2003 - Reaction-Diffusion in Nonsmooth and Closed Domains
- 65/2003 - Global solutions of nonlinear transport equations for chemosensitive movement
- 52/2003 - On the geometric flows of Kirchhoff elastic rods
- 19/2003 - Drift-diffusion limits of kinetic models for chemotaxis: a generalization
- 11/2003 - Parabolic systems with nowhere smooth solutions
- 77/2002 - On the large body limit for the Landau-Lifshitz equation in micromagnetics
- 26/2002 - Partial regularity for the Landau-Lifshitz equation in small dimensions
- 78/2001 - A constructive approach to traveling waves in chemotaxis
- 48/2001 - Nonlinear Diffusion in Irregular Domains
- 74/2000 - Droplet spreading: intermediate scaling law by PDE methods
- 40/2000 - Well-posedness of the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
- 39/2000 - On the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
- 32/2000 - Variational formulation for the lubrication approximation of the Hele-Shaw flow
- 67/1999 - Blowup in a chemotaxis model without symmetry assumptions

**35K57**(Reaction-diffusion equations)- 37/2016 - Convergence of the Allen-Cahn Equation to multi-phase mean-curvature flow
- 35/2015 - Recent Advances in Reaction-Diffusion Equations with Non-Ideal Relays
- 94/2013 - Systems of reaction-diffusion equations with spatially distributed hysteresis
- 24/2007 - Travelling-wave analysis of a model describing tissue degradation by bacteria
- 88/2005 - Traveling wave speeds in rapidly oscillating media
- 50/2005 - Pinning and De-Pinning Phenomena in Front Propagation in Heterogeneous Media
- 2/2005 - Two scale hydrodynamic limit for a model of malignant tumor cells
- 42/2004 - Travelling fronts in pressure-driven combustion
- 1/2004 - Traveling wave speeds of nonlocally perturbed reaction diffusion equations
- 22/2003 - Singular limit of a degenerate chemotaxis-Fisher equation
- 21/2003 - Travelling wave solutions in a model for filtration combustion
- 67/1999 - Blowup in a chemotaxis model without symmetry assumptions

**35K60****35K65**(Parabolic partial differential equations of degenerate type )- 32/2019 - Global Minimizers for Anisotropic Attractive-Repulsive Interactions
- 25/2016 - Quantitative homogenization of degenerate random environments
- 45/2015 - Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law
- 27/2015 - Relaxation rates for a perturbation of a stationary solution to the thin-film equation
- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 1/2014 - Well-posedness for the Navier-Slip Thin-Film Equation in the Case of Complete Wetting
- 23/2012 - Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3
- 12/2007 - Error estimates for a mixed finite element discretization of some degenerate parabolic equations
- 97/2003 - Reaction-Diffusion in Nonsmooth and Closed Domains
- 22/2003 - Singular limit of a degenerate chemotaxis-Fisher equation
- 48/2001 - Nonlinear Diffusion in Irregular Domains
- 74/2000 - Droplet spreading: intermediate scaling law by PDE methods
- 40/2000 - Well-posedness of the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
- 39/2000 - On the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
- 32/2000 - Variational formulation for the lubrication approximation of the Hele-Shaw flow

**35K90****35K93**- 37/2016 - Convergence of the Allen-Cahn Equation to multi-phase mean-curvature flow

**35K99**- 109/2006 - The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels

**35L****35L05**- 93/2013 - Adaptive Time Discretization for Retarded Potentials
- 72/2012 - Sparsity of Runge-Kutta convolution weights for three-dimensional wave equation
- 67/2012 - Fast Convolution Quadrature for Wave Equation in Three Dimensions
- 65/2010 - Efficient long time computations of time-domain boundary integrals for 2D and dissipative wave equation
- 58/2009 - Multistep and multistage boundary integral methods for the wave equation
- 26/2009 - Parallel multistep methods for linear evolution problems
- 22/2006 - Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering
- 116/2005 - Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation

**35L30**- 34/2008 - Diffractive geometric optics for Bloch wave packets

**35L40****35L45**- 67/2003 - Well--posedness for a class of hyperbolic systems of conservation laws in several space dimensions

**35L60**- 34/2003 - Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit

**35L65**(Conservation laws)- 9/2015 - Algebraic contraction rate for distance between entropy solutions of scalar conservation laws
- 67/2003 - Well--posedness for a class of hyperbolic systems of conservation laws in several space dimensions
- 60/2003 - Minimal entropy conditions for Burgers equation
- 44/2003 - Concentration estimates for entropy measures
- 40/2003 - Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions
- 109/2002 - The Riemann Function, Singular Entropies, and the Structure of Oscillations in Systems of two Conservation Laws
- 108/2002 - On the Optimality of Velocity Averaging Lemmas
- 95/2002 - Structure of entropy solutions for multi--dimensional scalar conservation laws
- 47/2002 - Structure of entropy solutions: applications to variational problems
- 53/2001 - A center manifold technique for tracing viscous waves

**35L67**(Shocks and singularities)- 26/2007 - Dynamic stability of martensite twins under regular kinetics
- 22/2007 - A Sobolev-type inequality with applications
- 60/2003 - Minimal entropy conditions for Burgers equation
- 44/2003 - Concentration estimates for entropy measures
- 108/2002 - On the Optimality of Velocity Averaging Lemmas
- 95/2002 - Structure of entropy solutions for multi--dimensional scalar conservation laws
- 47/2002 - Structure of entropy solutions: applications to variational problems

**35L70**(Nonlinear second-order PDE of hyperbolic type )**35Lxx**- 41/2005 - Compactness and Sobolev-Poincaré inequalities for solutions of kinetic equations

**35M10**(PDE of mixed type)**35M20**- 100/2003 - Global Existence for a Nonlinear System in Thermoviscoelasticity with Nonconvex Energy

**35M33**- 15/2015 - Blowup and Global Solutions in a Chemotaxis-Growth System

**35M99**(None of the above, but in this section)**35N10**- 51/2007 - Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method.

**35P05**(General spectral theory of PDE )- 87/2013 - Lower bounds of Dirichlet eigenvalues for degenerate elliptic operators and degenerate Schrödinger operators
- 76/2003 - Stability in a ball-partition problem
- 73/2003 - Strong ellipticity and spectral properties of chiral bag boundary conditions
- 57/2000 - Heat trace asymptotics of a time dependent process

**35P15**- 40/2012 - Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape

**35P20**- 87/2013 - Lower bounds of Dirichlet eigenvalues for degenerate elliptic operators and degenerate Schrödinger operators

**35P25****35P99**- 19/2014 - Nodal Sets of Steklov Eigenfunctions
- 100/2006 - Expected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary
- 63/2005 - Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions
- 11/2005 - Eigenfrequencies of fractal drums

**35Q****35Q10**(Navier-Stokes equations)- 51/2001 - Temporal asymptotics for the p'th power newtonian fluid in one space dimension

**35Q30**- 116/2014 - Upper bounds on Nusselt number at finite Prandtl number
- 19/2009 - Non-homogeneous Navier-Stokes systems with order-parameter dependent stresses
- 12/2009 - Nonstationary Stokes System with Variable Viscosity in Bounded and Unbounded Domains
- 71/2008 - Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
- 25/2008 - On Stokes Operators with Variable Viscosity in Bounded and Unbounded Domains
- 5/2008 - Existence of Weak solutions for a Diffuse Interface Model for Viscous, Incompressible Fluids with General Densities
- 74/2007 - On a diffuse interface model for a two-phase flow of compressible viscous fluids
- 15/2007 - On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities
- 117/2006 - On the Notion of Generalized Solutions of Viscous Incompressible Two-Phase Flows
- 120/2005 - On Generalized Solutions of Two-Phase Flows for Viscous Incompressible Fluids

**35Q35**- 27/2015 - Relaxation rates for a perturbation of a stationary solution to the thin-film equation
- 116/2014 - Upper bounds on Nusselt number at finite Prandtl number
- 50/2014 - Estimates of the Distance to the Set of Divergence Free Fields and Applications to Quantitative Analysis of Incompressible Fluids
- 1/2014 - Well-posedness for the Navier-Slip Thin-Film Equation in the Case of Complete Wetting
- 39/2012 - Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric
- 38/2012 - Coarsening rates for the dynamics of slipping droplets
- 5/2008 - Existence of Weak solutions for a Diffuse Interface Model for Viscous, Incompressible Fluids with General Densities
- 74/2007 - On a diffuse interface model for a two-phase flow of compressible viscous fluids
- 117/2006 - On the Notion of Generalized Solutions of Viscous Incompressible Two-Phase Flows
- 120/2005 - On Generalized Solutions of Two-Phase Flows for Viscous Incompressible Fluids
- 75/2002 - On temporal asymptotics for the p'th power viscous reacitve gas

**35Q40**- 7/2007 - Singular solutions for the Uehling-Uhlenbeck equation

**35Q5****35Q53**- 11/2008 - Polarized Hessian Covariant: Contribution to Pattern Formation in the Föppl-von Kármán Shell Equations
- 144/2006 - Euler-Poincaré flows on sl
_{n}Opers and Integrability - 20/2006 - Numerical simulation of generalized KP type equations with small dispersion
- 124/2005 - Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation

**35Q55**(NLS-like (nonlinear Schrödinger) equations)**35Q60****35Q72**(Other equations from mechanics)- 127/2006 - Stability of slender bodies under compression and validity of the von K\'arm\'an theory
- 20/2004 - Global Existence for Nonconvex Thermoelasticity
- 100/2003 - Global Existence for a Nonlinear System in Thermoviscoelasticity with Nonconvex Energy
- 87/2000 - Some unusual comparsion properties of capillary surfaces

**35Q80****35Q82**- 64/2010 - Regularity of solutions to a time-fractional diffusion equation

**35Q84****35Q92**- 15/2015 - Blowup and Global Solutions in a Chemotaxis-Growth System

**35Q99**(None of the above, but in this section)- 54/2009 - Time Discretisation for a Class of Singular Phase Field Models
- 56/2006 - Convergence to Equilibrium for the Cahn-Hilliard Equation with a Logarithmic Free Energy
- 1/2004 - Traveling wave speeds of nonlocally perturbed reaction diffusion equations
- 68/2001 - Direct integration of the Newton potential over cubes including a program description

**35Qxx**- 134/2006 - Cylindrical KP revisited

**35R30****35R35**(Free boundary problems for PDE)- 16/2015 - An epiperimetric inequality for the thin obstacle problem
- 1/2014 - Well-posedness for the Navier-Slip Thin-Film Equation in the Case of Complete Wetting
- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps
- 19/2009 - Non-homogeneous Navier-Stokes systems with order-parameter dependent stresses
- 71/2008 - Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
- 31/2007 - Convergence of phase-field approximations to the Gibbs-Thomson law
- 120/2006 - C
^{1,α}Regularity for Solutions to the p-Harmonic thin Obstacle Problem. - 119/2006 - A Parabolic Free Boundary Problem with Bernoulli Type Condition on the Free Boundary
- 43/2006 - The Free Boundary Near the Fixed Boundary for the Heat Equation
- 42/2006 - On the Regularity of a Free Boundary Near Contact Points With a Fixed Boundary
- 41/2006 - On the Non-Tangential Touch Between the Free and Fixed Boundaries for the Two-Phase Obstacle-Like Problem
- 98/2005 - Crack initiation in elastic bodies
- 35/2004 - On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem
- 32/2000 - Variational formulation for the lubrication approximation of the Hele-Shaw flow

**35R45**- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps
- 50/2012 - Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations
- 31/2012 - C
^{1,1}regularity for degenerate elliptic obstacle problems in mathematical finance

**35R60**- 47/2018 - Adaptive Stochastic Galerkin FEM for Lognormal Coefficients in Hierarchical Tensor Representations
- 11/2015 - Correlation structure of the corrector in stochastic homogenization
- 92/2013 - Degenerate parabolic stochastic partial differential equations: Quasilinear case
- 28/2012 - Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
- 39/2007 - The Allen-Cahn action functional in higher dimensions
- 14/2007 - Sharp-interface limit of a mesoscopic free energy with a random external field
- 53/2004 - Large-time behavior for viscous and non-viscous Hamilton-Jacobi equations forced by additive noise

**35R70**- 16/2003 (
*Lecture note*) - Rigidity and Geometry of Microstructures

- 16/2003 (
**35S0**- 6/2014 - Integro-differential harmonic maps into spheres

**35S05**- 32/2007 (
*Lecture note*) - Lectures on elliptic partial differential equations (Pseudodifferential operator approach)

- 32/2007 (
**35S10**- 77/2002 - On the large body limit for the Landau-Lifshitz equation in micromagnetics

**35S99**- 53/2008 - On hypoellipticity of generators of L\'{e}vy processes

**36-XX - Differential equations, operational calculus****36J65**- 83/2019 - The exponential growth and decay properties for solutions to elliptic equations in unbounded cylinders

**37-XX**(Dynamical systems and ergodic theory)- 4/2015 - Operator-theoretic identification of closed sub-systems of dynamical systems
- 3/2015 - Non-generating Partitions of Unimodular Maps
- 108/2013 - Closure Measures and the Tent Map
- 95/2005 - Persistent chaos in high dimensions
- 94/2005 - Probability of local bifurcation type from a fixed point: a random matrix perspective

**37-xx**- 33/2007 - Typical support and Sanov large deviations of correlated states

**37A05**- 71/2013 - A family of rotation numbers for discrete random dynamics on the circle

**37B05**- 33/2014 - Weak Expansiveness for Actions of Sofic Groups

**37B10****37B25**- 26/2011 - Topological bifurcations of minimal invariant sets for set-valued dynamical systems

**37B30****37B35****37B40****37B50**- 3/2005 - Almost-holomorphic and totally real solenoids in complex surfaces

**37B55**- 7/2011 - Local attractor continuation of non-autonomously perturbed systems

**37C05**- 49/2012 - Representation of Markov chains by random maps: existence and regularity conditions

**37C10****37C15**- 46/2019 - Partially Observable Systems and Quotient Entropy via Graphs

**37C20**- 36/2015 - Quantitative properties of infinite and finite pseudotrajectories

**37C27****37C29**- 42/2004 - Travelling fronts in pressure-driven combustion

**37C40****37C50**- 36/2016 - On absolute nonshadowability of transitive maps
- 36/2015 - Quantitative properties of infinite and finite pseudotrajectories
- 107/2014 - Shadowing in linear skew product
- 48/2014 - Oriented shadowing property and Ω-stability for vector fields
- 43/2014 - An example of a vector field with the oriented shadowing property
- 12/2014 - Shadowing for actions of some finitely generated groups.
- 106/2013 - Hölder Shadowing on Finite Intervals

**37C60**- 48/2007 - Synchronization of discrete-time dynamical networks with time-varying couplings

**37C70**- 26/2011 - Topological bifurcations of minimal invariant sets for set-valued dynamical systems

**37C75**- 64/2015 - On the regularity of lumped nonlinear dynamics in Banach spaces

**37C85****37D20****37D30**- 107/2014 - Shadowing in linear skew product

**37D45**- 57/2009 - Synchronization in discrete-time networks with general pairwise coupling

**37E05****37E10**- 71/2013 - A family of rotation numbers for discrete random dynamics on the circle

**37E30****37E45**- 13/2016 - Some properties of Hamiltonian homeomorphisms on aspherical closed surfaces
- 12/2016 - A generalization of classical action of Hamiltonian diffeomorphisms to Hamiltonian homeomorphisms
- 11/2016 - A refinement of Franks' theorem
- 71/2013 - A family of rotation numbers for discrete random dynamics on the circle

**37F20**- 8/2017 - Discrete Morse-Bott theory for CW complexes

**37F75**- 3/2005 - Almost-holomorphic and totally real solenoids in complex surfaces

**37G10**- 31/2005 - Neural fields with distributed transmission speeds and corticothalamic feedback delays

**37G35**- 26/2011 - Topological bifurcations of minimal invariant sets for set-valued dynamical systems

**37H10**- 49/2012 - Representation of Markov chains by random maps: existence and regularity conditions
- 30/2011 - Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays
- 87/2002 - Unbiased detection of phase locking in multivariate signals

**37H20**- 26/2011 - Topological bifurcations of minimal invariant sets for set-valued dynamical systems

**37Hxx**- 36/2016 - On absolute nonshadowability of transitive maps

**37J05**- 66/2005 - Classification of infinitesimal symmetries in covariant classical mechanics

**37J10****37J15****37J35**- 141/2006 - Quasi-Hamiltonian Structure and Hojman Construction

**37J45****37J50****37J60**- 77/2006 - Structures of G(2) type and nonholonomic distributions in characteristic p

**37K****37K05**- 24/2017 - Symmetries and conservation laws of a nonlinear sigma model with gravitino

**37K10**- 48/2008 - Virasoro Action on Pseudo-differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems
- 90/2007 - Virasoro Action on Pseudo-differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems
- 88/2007 - Supersymmetric Kuper Camassa-Holm Equation and Geodesic Flow : A Novel Approach
- 86/2007 - Euler-Poincar\'e Formalism of (Two Component) Degasperis-Procesi and Holm-Staley type Systems
- 124/2005 - Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation

**37K20**- 29/2006 (
*Lecture note*) - Ernst Equation and Riemann Surfaces - Analytical and Numerical Methods

- 29/2006 (
**37K40**(Soliton theory, asymptotic behavior of solutions )- 68/1998 - On transitions to stationary states in 1D nonlinear wave equations

**37K45**(Stability problems )- 68/1998 - On transitions to stationary states in 1D nonlinear wave equations

**37K60****37K65**- 86/2007 - Euler-Poincar\'e Formalism of (Two Component) Degasperis-Procesi and Holm-Staley type Systems

**37L05**- 50/2011 - Stability of solutions to abstract evolution equations with delay

**37L15**- 7/2011 - Local attractor continuation of non-autonomously perturbed systems

**37L60****37N25****37N35****37XX****39-XX - Difference and functional equations****39A11****39A12**- 114/2014 - On the symmetry of the Laplacian spectra of signed graphs

**39A30**- 32/2011 - On delay-induced stability in diffusively coupled discrete-time systems

**39A70**- 13/2015 - On annealed elliptic Green function estimates
- 91/2013 - Quantification of ergodicity in stochastic homogenization: Optimal bounds via spectral gap on Glauber dynamics
- 41/2013 - An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
- 69/2012 - Annealed estimates on the Green's function
- 28/2010 - An optimal error estimate in stochastic homogenization of discrete elliptic equations

**39J40**- 70/2004 - Convex integration and the L
^{p}theory of elliptic equations.

- 70/2004 - Convex integration and the L