Institute Publications
Explore the innovative research being conducted at MiS through our publications. Our scientists are at the forefront of their fields, publishing groundbreaking work in top journals. Browse our collection to learn about the latest developments and discoveries.
inJournal
2001
On the Dirichlet problem for reaction-diffusion equations in non-smooth domains
In: Nonlinear analysis / A, 47 (2001) 2, pp. 765-776inJournal
2001
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On the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains
In: Journal of mathematical analysis and applications, 260 (2001) 2, pp. 384-403inJournal
2001
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A new approach to variational problems with multiple scales
In: Communications on pure and applied mathematics, 54 (2001) 7, pp. 761-825Academic
2001
Aspekte einer Theorie pragmatischer Informationsstrukturierung
Dissertation, Universität Leipzig, 2001inJournal
2001
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Covering group theory for compact groups
In: Journal of pure and applied algebra, 161 (2001) 3, pp. 255-267inJournal
2001
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Covering group theory for locally compact groups
In: Topology and its applications, 114 (2001) 2, pp. 187-199inJournal
2001
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Covering group theory for topological groups
In: Topology and its applications, 114 (2001) 2, pp. 141-186inJournal
2001
Metrized semigroups
In: Zapiski naucnych seminarov POMI, 279 (2001) Geom. i Topol. 6, 24-60, 246--247inJournal
2001
Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups
In: Sibirskij matematiceskij zurnal, 42 (2001) 4, pp. 731-748inJournal
2001
Shapes of spheres of special nonholonomic left-invariant intrinsic metrics on some Lie groups
In: Siberian mathematical journal, 42 (2001) 4, pp. 613-628inJournal
2001
Erratum to 'Relaxed constitutive relations for phase transforming materials' [J. Mech. Phys. Solids 48 (2000) 1493-1517]
In: Journal of the mechanics and physics of solids, 49 (2001) 2000, pp. 707-708inJournal
2001
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Relaxation of some multi-well problems
In: Proceedings of the Royal Society of Edinburgh / A, 131 (2001) 2, pp. 279-320inJournal
2001
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Local regularity of solutions of variational problems for the equilibrium configuration of an incompressible, multiphase elastic body
In: Nonlinear differential equations and applications, 8 (2001) 1, pp. 53-81inJournal
2001
Brittle thin films
In: Applied mathematics and optimization, 44 (2001) 3, pp. 299-323inBook
2001
Repository Open Access
An overview of new supersymmetric gauge theories with 2-form gauge potentials
In: Noncommutative structures in mathematics and physics / Steven Duplij... (eds.)Dordrecht : Kluwer Academic Publishers, 2001. - pp. 141-152
(NATO science series. ; 22)
inJournal
2001
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Gauge theories of spacetime symmetries
In: Physical review / D, 64 (2001) 6, 065025 (online)inJournal
2001
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Superstring BRST cohomology
In: Journal of high energy physics, 2001 (2001) 8, p. 023Book
2001
Faszination und Perspektiven von Bildern in der Medizin und in den Naturwissenschaften : Workshop vom 27.01. bis 28.01.2001 in der Ostwald-Gedenkstätte Grossbothen bei Leipzig
Leipzig : Max-Planck-Institut für Mathematik in den Naturwissenschaften, 2001. - p. 65(Lecture notes / Max Planck Institute for Mathematics in the Sciences ; 11/2001)
inJournal
2001
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Numerical analysis of a relaxed variational model of hysteresis in two-phase solids
In: ESAIM / Mathematical modelling and numerical analysis, 35 (2001) 5, pp. 865-878inBook
2001
Numerical analysis of microstructure
In: Theory and numerics of differential equations, Durham 2000 / James F. Blowey (ed.)Berlin [u.a.] : Springer, 2001. - pp. 59-126
(Universitext)
inJournal
2001
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Liquid bridges, edge blobs, and Scherk-type capillary surfaces
In: Indiana University mathematics journal, 50 (2001) 1, pp. 411-441inJournal
2001
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Surface structure of ferroelastic domain walls: a continuum elasticity approach
In: Journal of physics / Condensed matter, 13 (2001) 39, L847-L854inJournal
2001
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A compactness result in the gradient theory of phase transitions
In: Proceedings of the Royal Society of Edinburgh / A, 131 (2001) 4, pp. 833-844inJournal
2001
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A damage mechanics approach to stress softening and its application to rubber
In: European journal of mechanics / A, 20 (2001) 6, pp. 873-892inJournal
2001
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Two-dimensional modelling of soft ferromagnetic films
In: Proceedings of the Royal Society of London / A, 457 (2001) 2016, pp. 2983-2991inJournal
2001
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The supersymmetric Camassa-Holm equation and geodesic flow on the superconformal group
In: Journal of mathematical physics, 42 (2001) 1, pp. 260-273inJournal
2001
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Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials
In: Communications in mathematical physics, 217 (2001) 2, pp. 383-407inJournal
2001
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A stochastic selection principle in case of fattening for curvature flow
In: Calculus of variations and partial differential equations, 13 (2001) 4, pp. 405-425inJournal
2001
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Mesoscopic limit for non-isothermal phase transition
In: Markov processes and related fields, 7 (2001) 3, pp. 355-381inJournal
2001
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On properties of the asymptotic expansion of the heat trace for the N/D problem
In: International journal of mathematics, 12 (2001) 5, pp. 505-507inJournal
2001
Uniform structures of metric spaces and open manifolds
In: Results in mathematics, 40 (2001) 1-4, pp. 144-191inJournal
2001
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On the equations of capillarity
In: Journal of mathematical fluid mechanics, 3 (2001) 2, pp. 139-151inJournal
2001
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The Einstein-Dirac-Maxwell equations : black hole solutions
In: Methods and applications of analysis, 8 (2001) 4, pp. 623-634inBook
2001
The Einstein-Dirac-Yang/Mills equations : black holes
In: Hyperbolic problems: theory, numerics, applications / Heinrich Freistühler (ed.)Basel ; Boston ; Berlin : Birkhäuser, 2001. - pp. 391-398
(International series of numerical mathematics ; 140)
inJournal
2001
Corrigendum 'On lower semicontinuity and relaxation'
In: Proceedings of the Royal Society of Edinburgh / A, 131 (2001) 4, p. 987inJournal
2001
On lower semicontinuity and relaxation
In: Proceedings of the Royal Society of Edinburgh / A, 131 (2001) 3, pp. 519-565inJournal
2001
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Exact relativistic treatment of stationary counterrotating dust disks
In: Physical review / D, 63 (2001) 8, 084025/1-084025/17inJournal
2001
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The kernel of the edth operators on higher-genus spacelike
In: Classical and quantum gravity, 18 (2001) 6, pp. 1003-1014inBook
2001
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Existence, bifurcation, and stability of profiles for classical and non-classical shock waves
In: Ergodic theory, analysis, and efficient simulation of dynamical systems / Bernd Fiedler (ed.)Berlin [u. a.] : Springer, 2001. - pp. 287-309
inJournal
2001
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A brief history of contact geometry and topology
In: Expositiones mathematicae, 19 (2001) 1, pp. 25-53inJournal
2001
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Variational formulation for the lubrication approximation of the Hele-Shaw flow
In: Calculus of variations and partial differential equations, 13 (2001) 3, pp. 377-403Book
2001
Geometric properties of natural operators defined by the Riemann curvature tensor
New Jersey : World Scientific, 2001. - VIII, 306ISBN: 981-02-4752-4
inJournal
2001
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Heat trace asymptotics of a time-dependent process
In: Journal of physics / A, 34 (2001) 6, pp. 1153-1168inJournal
2001
Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
In: Nuclear physics / B, 601 (2001) 1-2, pp. 125-148inBook
2001
The geometry of the skew-symmetric curvature operator in the complex setting
In: Global differential geometry: The mathematical legacy of Alfred Gray / Marisa Fernández (ed.)Providence, RI : American Math. Soc., 2001. - pp. 325-333
(Contemporary mathematics ; 288)
inJournal
2001
The Jordan normal form of Osserman algebraic curvature tensors
In: Results in mathematics, 40 (2001) 1-4, pp. 192-204inJournal
2001
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Sharp growth rate for generalized solutions evolving by mean curvature plus a forcing term
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 538 (2001), pp. 1-24inJournal
2001
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Conformal metrics of constant mass
In: Calculus of variations and partial differential equations, 12 (2001) 3, pp. 259-279inJournal
2001
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Variational principles for propagation speeds in inhomogeneous media
In: SIAM journal on applied mathematics, 62 (2001) 1, 129-148 (electronic)inJournal
2001
Wave solutions to reaction-diffusion systems in perforated domains
In: Zeitschrift fuer Analysis und ihre Anwendungen, 20 (2001) 3, pp. 661-676inJournal
2001
Magnetic and superconducting instabilities of the Hubbard model at the Van Hove filling
In: Physical review letters, 87 (2001) 18, p. 187004inJournal
2001
Temperature-flow renormalization group and the competition between superconductivity and ferromagnetism
In: Physical review / B, 64 (2001) 18, p. 184516inJournal
2001
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Blow-up in a chemotaxis model without symmetry assumptions
In: European journal of applied mathematics, 12 (2001) 2, pp. 159-177inJournal
2001
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The inverse mean curvature flow and the Riemannian Penrose inequality
In: Journal of differential geometry, 59 (2001) 3, pp. 353-437inBook
2001
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Evolving neural behaviour control for autonomous robots
In: Artificial neural networks / G. Dorffner... (eds.)Berlin : Springer, 2001. - pp. 957-962
(Lecture notes in computer science ; 2130)
inBook
2001
Fixed point analysis : dynamics of nonstationary spatiotemporal signals
In: Space-time chaos characterization, control, and synchronization : Pamplona, Spain, 19-23 June 2000 / S. Boccaletti (ed.)Singapore : World Scientific, 2001. - pp. 29-44
inJournal
2001
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Nontrivial critical networks : singularities of Lagrangians and a criterion for criticality
In: Mathematical notes, 69 (2001) 3-4, pp. 514-526inJournal
2001
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Nontrivial critical networks. Singularities of Lagrangians and a criterion for criticality
In: Matematiceskie zametki, 69 (2001) 4, pp. 566-580inJournal
2001
Planar Manhattan local minimal and critical networks
In: Zapiski naucnych seminarov POMI, 279 (2001) Geom. i Topol. 6, 111-140, 248inJournal
2001
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Analytic aspects of the Toda system. Pt. 1 : A Moser-Trudinger inequality
In: Communications on pure and applied mathematics, 54 (2001) 11, pp. 1289-1319Book
2001
Bosonic strings : a mathematical treatment
Providence, RI : American Mathematical Society [u. a.], 2001. - XI, 95(AMS/IP studies in advanced mathematics ; 21)
ISBN: 0-8218-2644-1, ISSN: 1089-3288
inJournal
2001
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Representations of fundamental groups of algebraic manifolds and their restrictions to fibers of a fibration
In: Mathematical research letters, 8 (2001) 4, pp. 569-575inJournal
2001
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Some aspects of the global geometry of entire space-like submanifolds
In: Results in mathematics, 40 (2001) 1-4, pp. 233-245inJournal
2001
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Algebraic description of the Maxwell field singularity in a neighbourhood of a multipole particle
In: Reports on mathematical physics, 47 (2001) 3, pp. 301-311inJournal
2001
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Deformations with finitely many gradients and stability of quasiconvex hulls
In: Comptes rendus de l'Académie des Sciences / 1, 332 (2001) 3, pp. 289-294inJournal
2001
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Differentiability of convex envelopes
In: Comptes rendus de l'Académie des Sciences / 1, 333 (2001) 8, pp. 725-728Academic
2001
Geometry and rigidity of microstructures
Habilitation, Universität Leipzig, 2001inJournal
2001
Bilipschitz embeddings of metric spaces into space forms
In: Geometriae dedicata, 87 (2001) 1-3, pp. 285-307inBook
2001
Repository Open Access
Evolving different neuro-modules and their interfaces to control autonomous robots
In: Proceedings of the 5th world multiconference on systemics, cybernetics and informatics : SCI/ISAS 2001 ; July 22-25, 2001, Orlando, FloridaOrlando, FL : The Institute, 2001. - pp. 259-264
inJournal
2001
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A characterization of minimal Legendrian submanifolds in S2n+1
In: Compositio mathematica, 129 (2001) 1, pp. 87-93inJournal
2001
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Anti-complexified Ricci flow on compact symplectic manifolds
In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 530 (2001), pp. 17-31inJournal
2001
Stability conditions for patterns of noninteracting large shock waves
In: SIAM journal on mathematical analysis, 32 (2001) 5, 1094-1116 (electronic)inJournal
2001
A note on Hermitian-Einstein metrics on parabolic stable bundles
In: Acta Mathematica Sinica, 17 (2001) 1, pp. 77-80inJournal
2001
On an evolutionary nonlinear fluid model in the limiting case
In: Mathematica bohemica, 126 (2001) 2, pp. 421-428inBook
2001
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A chapter in physical mathematics: theory of knots in the sciences
In: Mathematics unlimited - 2001 and beyond / pt. 2 / Björn Engquist (ed.)Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London : Springer, 2001. - pp. 873-888
inJournal
2001
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Polar factorization of maps on Riemannian manifolds
In: Geometric and functional analysis, 11 (2001) 3, pp. 589-608inJournal
2001
Unique solvability of the Dirichlet problem for weakly harmonic maps
In: Manuscripta mathematica, 105 (2001) 3, pp. 379-399inJournal
2001
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Optimal existence theorems for nonhomogeneous differential inclusions
In: Journal of functional analysis, 181 (2001) 2, pp. 447-475inJournal
2001
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The geometry of dissipative evolution equations: the porous medium equation
In: Communications in partial differential equations, 26 (2001) 1-2, pp. 101-174inJournal
2001
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Colored extension of GLq2 and its dual algebra
In: Physics of atomic nuclei, 64 (2001) 12, pp. 2146-2150inJournal
2001
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On the biparametric quantum deformation of GL(2) x GL(1)
In: Journal of mathematical physics, 42 (2001) 2, pp. 5431-5443inBook
2001
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Evolving brain structures for robot control
In: 6th International Work Conference on Artificial and Natural Neural Networks / José Mira (ed.)Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London : Springer, 2001. - pp. 410-417
(Lecture notes in computer science ; 2085)
inJournal
2001
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Robot control and the evolution of modular neurodynamics
In: Theory in biosciences, 3 (2001), pp. 311-326inJournal
2001
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Asymptotical flatness and cone structure at infinity
In: Mathematische Annalen, 321 (2001) 4, pp. 775-788inJournal
2001
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On self-similar singular solutions of the complex Ginzburg-Landau equation
In: Communications on pure and applied mathematics, 54 (2001) 10, pp. 1215-1242inJournal
2001
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On the number of singular points of weak solutions to the Navier-Stokes equations
In: Communications on pure and applied mathematics, 54 (2001) 8, pp. 1019-1028inJournal
2001
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A relation between mean curvature flow solitons and minimal submanifolds
In: Mathematische Nachrichten, 229 (2001), pp. 175-186inJournal
2001
Associative memory in a pair of cortical cell groups with reciprocal
In: Neurocomputing, 38 (2001), pp. 1575-1580inJournal
2001
Associative memory in networks of spiking neurons
In: Neural networks, 14 (2001), pp. 825-834inJournal
2001
Erratum: 'The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems' [SIAM J.\ Appl.\ Math. \bf 61 (2000), no. 1, 183--212]
In: SIAM journal on applied mathematics, 61 (2001) 2000, 2200 (electronic)inJournal
2001
Neural field model of receptive field restructuring in primary visual cortex
In: Neural computation, 13 (2001) 1, pp. 139-159inJournal
2001
Comparing two methods of resolving homogeneous differential inclusions
In: Calculus of variations and partial differential equations, 13 (2001) 2, pp. 213-229inJournal
2001
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Sufficiency theorems for local minimizers of the multiple integrals of the calculus of variations
In: Proceedings of the Royal Society of Edinburgh / A, 131 (2001) 1, pp. 155-184inBook
2001
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Topological ordering in neural nets with weak nearest neighbour interactions
In: IJCNN'01 : International joint conference on neural networks ; proceedings ; 15-19 July 2001Piscataway, N.J. : IEEE, 2001. - pp. 296-301
inBook
2001
Topology-preserving elastic nets
In: 6th International Work Conference on Artificial and Natural Neural Networks / José Mira (ed.)Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London : Springer, 2001. - pp. 551-557
(Lecture notes in computer science ; 2084)
inJournal
2001
Nirenberg's problem on domains in the 2-sphere
In: The journal of geometric analysis, 11 (2001) 4, pp. 715-724inJournal
2001
On a non local eigenvalue problem
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 30 (2001) 1, pp. 41-61inJournal
2001
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Generalized types of synchronization in networks of spiking neurons
In: Neurocomputing, 38/40 (2001), pp. 1037-1042inJournal
2001
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Nonlinear analysis of orientation tuning: Stationary properties of simple cells in V1
In: Neurocomputing, 38 (2001), pp. 439-444inJournal
2001
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Orientation tuning properties of simple cells in area V1 derived from an approximate analysis on nonlinear neural field models
In: Neural computation, 13 (2001) 8, pp. 1721-1747inJournal
2001
Mathematics unlimited - ein einzigartiger Sammelband. Book review of: B. Engquist (ed.) and W. Schmid (ed.), Mathematics unlimited - 2001 and beyond
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 9 (2001) 4, pp. 48-50Open Access Types
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