Research Group

Applied Analysis - Publications

Explore the scholarly works of the "Applied Analysis" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.

Group Publications by Type

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Publications of László Székelyhidi

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inJournal

2025

Wesley Agoua, Xi-Yuan Yin, Tong Wu and Wouter J. T. Bos

Coexistence of two equilibrium configurations in two-dimensional turbulence

In: Physical review fluids, 10 (2025) 3, p. 034604

BibTex DOI: 10.1103/PhysRevFluids.10.034604

inJournal

2025 Journal Open Access

Adam Black and Tal Malinovitch

Scattering for Schrödinger operators with conical decay

In: Journal of functional analysis, 288 (2025) 7, p. 110831

BibTex DOI: 10.1016/j.jfa.2025.110831 ArXiv: 2210.10596

inJournal

2025 Repository Open Access

Paolo Bonicatto, Giacomo Del Nin and Filip Rindler

Transport of currents and geometric Rademacher-type theorems

In: Transactions of the American Mathematical Society, (2025)

BibTex DOI: 10.1090/tran/9312 ArXiv: 2207.03922

Preprint

2025 Repository Open Access

Paolo Bonicatto and Giacomo Del Nin

Well-posedness of the transport of normal currents by time-dependent vector fields

BibTex ArXiv: 2504.15974

inJournal

2025 Repository Open Access

Wentao Cao and László Székelyhidi

On the isometric version of Whitney's strong embedding theorem

In: Advances in mathematics, 460 (2025), p. 110040

BibTex DOI: 10.1016/j.aim.2024.110040 ArXiv: 2306.12879

inJournal

2025 Repository Open Access

Ángel Castro, Daniel Faraco, Francisco Mengual and Marcos Solera

A proof of Vishik's nonuniqueness theorem for the forced 2D Euler equation

In: Journal für die reine und angewandte Mathematik (Crelle's Journal), (2025)

BibTex DOI: 10.1515/crelle-2025-0025 ArXiv: 2404.15995

Preprint

2025 Repository Open Access

Ángel Castro, Daniel Faraco, Francisco Mengual and Marcos Solera

Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation

BibTex ArXiv: 2502.10274

inJournal

2025 Repository Open Access

Antonio De Rosa and Riccardo Tione

The double and triple bubble problem for stationary varifolds : the convex case

In: Transactions of the American Mathematical Society, 378 (2025) 5, pp. 3393-3444

BibTex DOI: 10.1090/tran/9400 ArXiv: 2301.10705

Preprint

2025 Repository Open Access

Giacomo Del Nin and Lucia De Luca

The square sticky disk : crystallization and Gamma-convergence to the octagonal anisotropic perimeter

BibTex ArXiv: 2503.20439

inJournal

2025 Repository Open Access

Jan Giesselmann and Sam G. Krupa

Theory of shifts, shocks, and the intimate connections to $L^{2}$ -type A posteriori error analysis of numerical schemes for hyperbolic problems

In: Mathematics of computation, (2025)

BibTex DOI: 10.1090/mcom/4043 ArXiv: 2306.06538

inJournal

2025 Journal Open Access

Lucas Huysmans and Edriss S. Titi

Non-uniqueness and inadmissibility of the vanishing viscosity limit of the passive scalar transport equation

In: Journal de mathématiques pures et appliquées, 198 (2025), p. 103685

BibTex DOI: 10.1016/j.matpur.2025.103685 ArXiv: 2307.00809

inJournal

2025 Repository Open Access

Sam G. Krupa and László Székelyhidi

Contact discontinuities for 2-D isentropic Euler are unique in 1-D but wildly non-unique otherwise

In: Communications in mathematical physics, 406 (2025) 5, p. 109

BibTex DOI: 10.1007/s00220-025-05278-6 ArXiv: 2409.11296

inJournal

2025 Journal Open Access

Annalaura Rebucci and Martina Zizza

Geometric interpretation of the vanishing Lie Bracket for two-dimensional rough vector fields

In: Journal of functional analysis, 289 (2025) 1, p. 110919

BibTex DOI: 10.1016/j.jfa.2025.110919 ArXiv: 2406.02340

inJournal

2025 Journal Open Access

Stefan Schiffer

$A$ -free truncation and higher integrability of minimisers

In: Calculus of variations and partial differential equations, 64 (2025) 1, p. 30

BibTex DOI: 10.1007/s00526-024-02855-w ArXiv: 2409.08713

inJournal

2025 Journal Open Access

Martina Zizza

An example of a weakly mixing $BV$ vector field which is not strongly mixing

In: Journal of evolution equations, 25 (2025) 2, p. 34

BibTex DOI: 10.1007/s00028-025-01056-y ArXiv: 2208.12174

inJournal

2024 Repository Open Access

Francesca Anceschi, Sergio Polidoro and Annalaura Rebucci

Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator

In: Journal of evolution equations, 24 (2024) 4, p. 93

BibTex DOI: 10.1007/s00028-024-01021-1 ArXiv: 2211.05736

inBook

2024 Repository Open Access

Francesca Anceschi, Mirco Piccinini and Annalaura Rebucci

New perspectives on recent trends for Kolmogorov operators

In: Kolmogorov operators and their applications : conference proceedings / Stéphan Menozzi... (eds.)
Singapore : Springer, 2024. - pp. 57-92
(Springer INdAM series)

BibTex DOI: 10.1007/978-981-97-0225-1 ArXiv: 2304.01147

inJournal

2024 Journal Open Access

Francesca Anceschi and Annalaura Rebucci

On the obstacle problem associated to the Kolmogorov-Fokker-Planck operator with rough coefficients

In: Annali di matematica pura ed applicata, (2024)

BibTex DOI: 10.1007/s10231-024-01431-5 ArXiv: 2302.11889

Preprint

2024 Repository Open Access

Francesca Anceschi, Helge Dietert, Jessica Guerand, Amélie Loher, Clément Mouhot and Annalaura Rebucci

Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators

BibTex ArXiv: 2401.12194

Preprint

2024 Repository Open Access

Adolfo Arroyo-Rabasa, Paolo Bonicatto and Giacomo Del Nin

Local Poincaré constants and mean oscillation functionals for $B V$ functions

BibTex ArXiv: 2402.10794

inJournal

2024 Repository Open Access

Adolfo Arroyo-Rabasa, Paolo Bonicatto and Giacomo Del Nin

Representation of the total variation as a $Γ$ -limit of $B M O$ -type seminorms

In: Indiana University mathematics journal, 73 (2024) 1, pp. 341-365

BibTex DOI: 10.1512/iumj.2024.73.9789 ArXiv: 2112.03832

inBook

2024

Federico Bonetto, Eric A. Carlen, Lukas Hauger and Michael Loss

Approach to equilibrium for the Kac model

In: From particle systems to partial differential equations : PSPDE X, Braga, Portugal, June 2022 / Eric Carlen (ed.)
Cham : Springer, 2024. - pp. 187-211

BibTex DOI: 10.1007/978-3-031-65195-3_8

inJournal

2024 Repository Open Access

Paolo Bonicatto, Giacomo Del Nin and Filip Rindler

Existence and uniqueness for the transport of currents by Lipschitz vector fields

In: Journal of functional analysis, (2024)

BibTex DOI: 10.1016/j.jfa.2024.110315 ArXiv: 2303.03218

inJournal

2024 Repository Open Access

Misha Chernobai and Timofey Shilkin

Elliptic equations with a singular drift from a weak Morrey space

In: Communications on pure and applied analysis, 23 (2024) 8, pp. 1116-1139

BibTex DOI: 10.3934/cpaa.2024050 ArXiv: 2208.10909

Preprint

2024 Repository Open Access

Misha Chernobai and Timofey Shilkin

On the existence and uniqueness of weak solutions to elliptic equations with a singular drift

BibTex ArXiv: 2405.04302

inJournal

2024 Repository Open Access

Maria Colombo and Riccardo Tione

Non-classical solutions of the $p$ -Laplace equation

In: Journal of the European Mathematical Society, (2024)

BibTex DOI: 10.4171/JEMS/1462 ArXiv: 2201.07484

inJournal

2024 Repository Open Access

Guido De Philippis and Riccardo Tione

On singular strictly convex solutions to the Monge-Ampère equation

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, (2024)

BibTex DOI: 10.2422/2036-2145.202311_013 ArXiv: 2311.08848

inBook

2024 Repository Open Access

Giacomo Del Nin and Luca De Luca

A crystallization result in two dimensions for a soft disc affine potential

In: Anisotropic isoperimetric problems and related topics
Singapore : Springer, 2024. - pp. 201-212
(Springer INdAM series ; 62)

BibTex DOI: 10.1007/978-981-97-6984-1_9 ArXiv: 2305.06449

Preprint

2024 Repository Open Access

Giacomo Del Nin and Bian Wu

Approximation of divergence-free vector fields vanishing on rough planar sets

BibTex ArXiv: 2409.09880

Preprint

2024 Repository Open Access

Francisco Gancedo, Antonio Hidalgo-Torné and Francisco Mengual

Dissipative Euler flows originating from circular vortex filaments

BibTex ArXiv: 2404.04250

Preprint

2024 Repository Open Access

Mihkail Glazkov and Timofey Shilkin

On the $L_{1}$ -stability for parabolic equations with a supercritical drift term

BibTex ArXiv: 2411.03816

Preprint

2024 Repository Open Access

Franz Gmeineder and Stefan Schiffer

Extensions of divergence-free fields in $L^{1}$ based function spaces

BibTex ArXiv: 2408.04513

inJournal

2024 Journal Open Access

Franz Gmeineder and Stefan Schiffer

Natural annihilators and operators of constant rank over $C$

In: Rendiconti lincei : matematica e applicazioni, serie 9, 35 (2024) 2, pp. 155-173

BibTex DOI: 10.4171/RLM/1037

inJournal

2024 Repository Open Access

André Guerra and Riccardo Tione

Regularity and compactness for critical points of degenerate polyconvex energies

In: Archive for rational mechanics and analysis, 248 (2024) 6, p. 107

BibTex DOI: 10.1007/s00205-024-02055-y ArXiv: 2401.16315

Preprint

2024 Repository Open Access

André Guerra, Guido De Philippis and Riccardo Tione

Unique continuation for differential inclusions

BibTex ArXiv: 2312.05022

inJournal

2024 Repository Open Access

Carl Johan Peter Johansson and Riccardo Tione

$T_{5}$ configurations and hyperbolic systems

In: Communications in contemporary mathematics, 26 (2024) 3, p. 2250081

BibTex DOI: 10.1142/S021919972250081X ArXiv: 2208.10979

Preprint

2024 Repository Open Access

Konstantin Kalinin, Govind Menon and Bian Wu

Scale invariant bounds for the Kelvin-Helmholtz instability

BibTex ArXiv: 2410.14557

inJournal

2024 Repository Open Access

Bruce Kleiner, Stefan Müller, László Székelyhidi and Xiangdong Xie

Rigidity of Euclidean product structure: breakdown for low Sobolev exponents

In: Communications on pure and applied analysis, 23 (2024) 10, pp. 1569-1607

BibTex DOI: 10.3934/cpaa.2024029 ArXiv: 2403.20265

inJournal

2024 Repository Open Access

Sam G. Krupa and László Székelyhidi

Nonexistence of $T_{4}$ configurations for hyperbolic systems and the Liu entropy condition

In: Advances in mathematics, 454 (2024), p. 109856

BibTex DOI: 10.1016/j.aim.2024.109856 ArXiv: 2211.14239

inJournal

2024 Journal Open Access

Francisco Mengual

Non-uniqueness of admissible solutions for the 2D Euler equation with $L^{p}$ vortex data

In: Communications in mathematical physics, 405 (2024) 9, p. 207

BibTex DOI: 10.1007/s00220-024-05065-9 ArXiv: 2304.09578

inJournal

2024 Journal Open Access

Annalaura Rebucci

Harnack inequality and maximum principle for degenerate Kolmogorov operators in divergence form

In: Journal of mathematical analysis and applications, (2024)

BibTex DOI: 10.1016/j.jmaa.2024.128371

inJournal

2024 Journal Open Access

Stefan Schiffer

A sufficient and necessary condition for $A$ -quasiaffinity

In: Rendiconti del Circolo Matematico di Palermo, 73 (2024) 2, pp. 527-579

BibTex DOI: 10.1007/s12215-023-00934-z

inJournal

2024 Journal Open Access

Stefan Schiffer

An alternative approach to solenoidal Lipschitz truncation

In: Proceedings of the Royal Society of Edinburgh / A, (2024)

BibTex DOI: 10.1017/prm.2024.38 ArXiv: 2207.06073

Preprint

2024 Repository Open Access

Stefan Schiffer and Martina Zizza

On incompressible flows in discrete networks and Shnirelman's inequality

BibTex ArXiv: 2410.01576

inJournal

2024 Journal Open Access

Stefan Schiffer

On the complex constant rank condition and inequalities for differential operators

In: Nonlinear analysis / A, 239 (2024), p. 113435

BibTex DOI: 10.1016/j.na.2023.113435 ArXiv: 2302.07528

Preprint

2024 Repository Open Access

Martina Zizza

An alternative approach to Shnirelman's inequality

BibTex ArXiv: 2407.09377

inJournal

2023 Repository Open Access

Linus Behn, Franz Gmeineder and Stefan Schiffer

On symmetric div-quasiconvex hulls and divsym-free $L^{\infty}$ -truncations

In: Annales de l'Institut Henri Poincaré / C, 40 (2023) 6, pp. 1267-1317

BibTex DOI: 10.4171/AIHPC/66 ArXiv: 2108.05757

Preprint

2023 Repository Open Access

Jan Burczak, László Székelyhidi and Bian Wu

Anomalous dissipation and Euler flows

BibTex ArXiv: 2310.02934

inJournal

2023 Journal Open Access

Luigi De Rosa and Riccardo Tione

Fine properties of symmetric and positive matrix fields with bounded divergence

In: Advances in mathematics, 427 (2023), p. 109130

BibTex DOI: 10.1016/j.aim.2023.109130 ArXiv: 2212.08618

inJournal

2023 Repository Open Access

Giacomo Del Nin and Raquel Perales

Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into $R^{n}$

In: Journal of mathematical analysis and applications, 526 (2023) 1, p. 127297

BibTex DOI: 10.1016/j.jmaa.2023.127297 ArXiv: 2210.06406

inJournal

2023 Repository Open Access

Xavier Fernández-Real and Riccardo Tione

Improved regularity of second derivatives for subharmonic functions

In: Proceedings of the American Mathematical Society, 151 (2023) 12, pp. 5283-5297

BibTex DOI: 10.1090/proc/16490 ArXiv: 2110.02602

inJournal

2023 Repository Open Access

William Golding, Sam G. Krupa and Alexis F. Vasseur

Sharp $α$ -contraction estimates for small extremal shocks

In: Journal of hyperbolic differential equations, 20 (2023) 3, pp. 541-602

BibTex DOI: 10.1142/S0219891623500170 ArXiv: 2012.09261

inJournal

2023 Journal Open Access

Marc Härkönen, Jonas Hirsch and Bernd Sturmfels

Making waves

In: La matematica, 2 (2023) 3, pp. 593-615

BibTex DOI: 10.1007/s44007-023-00056-z ArXiv: 2111.14045 Code: mathrepo.mis.mpg.de

Preprint

2023 Repository Open Access

Jonas Hirsch, Connor Mooney and Riccardo Tione

On the Lawson-Osserman conjecture

BibTex ArXiv: 2308.04997

Preprint

2023 Repository Open Access

Dominik Inauen and Govind Menon

Stochastic Nash evolution

BibTex ArXiv: 2312.06541

inJournal

2023 Journal Open Access

Christina Lienstromberg, Stefan Schiffer and Richard Schubert

A data-driven approach to viscous fluid mechanics : the stationary case

In: Archive for rational mechanics and analysis, 247 (2023) 2, p. 30

BibTex DOI: 10.1007/s00205-023-01849-w ArXiv: 2207.00324

Preprint

2023 Repository Open Access

Christina Lienstromberg, Stefan Schiffer and Richard Schubert

A variational approach to the non-newtonian Navier-Stokes equations

BibTex ArXiv: 2312.03546

inJournal

2023 Journal Open Access

Annalaura Rebucci

Regularity results for Kolmogorov equations based on a blow-up argument

In: Bruno Pini mathematical analysis seminar, 14 (2023) 2, pp. 139-162

BibTex DOI: 10.6092/issn.2240-2829/18861

inJournal

2023 Journal Open Access

Massimo Sorella and Riccardo Tione

The four-state problem and convex integration for linear differential operators

In: Journal of functional analysis, 284 (2023) 4, p. 109785

BibTex DOI: 10.1016/j.jfa.2022.109785 ArXiv: 2107.10785

inJournal

2023 Repository Open Access

Riccardo Tione

Critical points of degenerate polyconvex energies

In: SIAM journal on mathematical analysis, 55 (2023) 4, pp. 3205-3225

BibTex DOI: 10.1137/22M1519018 ArXiv: 2203.12284

inJournal

2022 Journal Open Access

Geng Chen, Sam G. Krupa and Alexis F. Vasseur

Uniqueness and weak-BV stability for $2 \times 2$ conservation laws

In: Archive for rational mechanics and analysis, 246 (2022) 1, pp. 299-332

BibTex DOI: 10.1007/s00205-022-01813-0 ArXiv: 2010.04761

inJournal

2022 Repository Open Access

Antonio De Rosa and Riccardo Tione

Regularity for graphs with bounded anisotropic mean curvature

In: Inventiones mathematicae, 230 (2022) 2, pp. 463-507

BibTex DOI: 10.1007/s00222-022-01129-6 ArXiv: 2011.09922

inJournal

2022 Journal Open Access

Jonas Hirsch and Konstantinos Zemas

A note on a rigidity estimate for degree $\pm 1$ conformal maps on $S^{2}$

In: The bulletin of the London Mathematical Society, 54 (2022) 1, pp. 256-263

BibTex DOI: 10.1112/blms.12591 ArXiv: 2103.05390

Open Access Types

Journal Open Access
• Without article processing charges (diamond open access)
• With article processing charges (gold open access)
• In closed access journals with chargeable open access option (hybrid open access)

Repository Open Access
• Publications on a preprint server or on a free repository (green open access)

Applied Analysis - Publications

Coexistence of two equilibrium configurations in two-dimensional turbulence

Scattering for Schrödinger operators with conical decay

Transport of currents and geometric Rademacher-type theorems

Well-posedness of the transport of normal currents by time-dependent vector fields

On the isometric version of Whitney's strong embedding theorem

A proof of Vishik's nonuniqueness theorem for the forced 2D Euler equation

Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation

The double and triple bubble problem for stationary varifolds : the convex case

The square sticky disk : crystallization and Gamma-convergence to the octagonal anisotropic perimeter

Theory of shifts, shocks, and the intimate connections to L2-type A posteriori error analysis of numerical schemes for hyperbolic problems

Non-uniqueness and inadmissibility of the vanishing viscosity limit of the passive scalar transport equation

Contact discontinuities for 2-D isentropic Euler are unique in 1-D but wildly non-unique otherwise

Geometric interpretation of the vanishing Lie Bracket for two-dimensional rough vector fields

A-free truncation and higher integrability of minimisers

An example of a weakly mixing BV vector field which is not strongly mixing

Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator

New perspectives on recent trends for Kolmogorov operators

On the obstacle problem associated to the Kolmogorov-Fokker-Planck operator with rough coefficients

Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators

Local Poincaré constants and mean oscillation functionals for BV functions

Representation of the total variation as a Γ-limit of BMO-type seminorms

Approach to equilibrium for the Kac model

Existence and uniqueness for the transport of currents by Lipschitz vector fields

Elliptic equations with a singular drift from a weak Morrey space

On the existence and uniqueness of weak solutions to elliptic equations with a singular drift

Non-classical solutions of the p-Laplace equation

On singular strictly convex solutions to the Monge-Ampère equation

A crystallization result in two dimensions for a soft disc affine potential

Approximation of divergence-free vector fields vanishing on rough planar sets

Dissipative Euler flows originating from circular vortex filaments

On the L1-stability for parabolic equations with a supercritical drift term

Extensions of divergence-free fields in L1based function spaces

Natural annihilators and operators of constant rank over C

Regularity and compactness for critical points of degenerate polyconvex energies

Unique continuation for differential inclusions

T5 configurations and hyperbolic systems

Scale invariant bounds for the Kelvin-Helmholtz instability

Rigidity of Euclidean product structure: breakdown for low Sobolev exponents

Nonexistence of T4 configurations for hyperbolic systems and the Liu entropy condition

Non-uniqueness of admissible solutions for the 2D Euler equation with Lp vortex data

Harnack inequality and maximum principle for degenerate Kolmogorov operators in divergence form

A sufficient and necessary condition for A-quasiaffinity

An alternative approach to solenoidal Lipschitz truncation

On incompressible flows in discrete networks and Shnirelman's inequality

On the complex constant rank condition and inequalities for differential operators

An alternative approach to Shnirelman's inequality

On symmetric div-quasiconvex hulls and divsym-free L∞-truncations

Anomalous dissipation and Euler flows

Fine properties of symmetric and positive matrix fields with bounded divergence

Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into Rn

Improved regularity of second derivatives for subharmonic functions

Sharp α-contraction estimates for small extremal shocks

Making waves

On the Lawson-Osserman conjecture

Stochastic Nash evolution

A data-driven approach to viscous fluid mechanics : the stationary case

A variational approach to the non-newtonian Navier-Stokes equations

Regularity results for Kolmogorov equations based on a blow-up argument

The four-state problem and convex integration for linear differential operators

Critical points of degenerate polyconvex energies

Uniqueness and weak-BV stability for 2×2 conservation laws

Regularity for graphs with bounded anisotropic mean curvature

A note on a rigidity estimate for degree ±1 conformal maps on S2

Open Access Types

Theory of shifts, shocks, and the intimate connections to $L^{2}$ -type A posteriori error analysis of numerical schemes for hyperbolic problems

$A$ -free truncation and higher integrability of minimisers

An example of a weakly mixing $BV$ vector field which is not strongly mixing

Local Poincaré constants and mean oscillation functionals for $B V$ functions

Representation of the total variation as a $Γ$ -limit of $B M O$ -type seminorms

Non-classical solutions of the $p$ -Laplace equation

On the $L_{1}$ -stability for parabolic equations with a supercritical drift term

Extensions of divergence-free fields in $L^{1}$ based function spaces

Natural annihilators and operators of constant rank over $C$

$T_{5}$ configurations and hyperbolic systems

Nonexistence of $T_{4}$ configurations for hyperbolic systems and the Liu entropy condition

Non-uniqueness of admissible solutions for the 2D Euler equation with $L^{p}$ vortex data

A sufficient and necessary condition for $A$ -quasiaffinity

On symmetric div-quasiconvex hulls and divsym-free $L^{\infty}$ -truncations

Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into $R^{n}$

Sharp $α$ -contraction estimates for small extremal shocks

Uniqueness and weak-BV stability for $2 \times 2$ conservation laws

A note on a rigidity estimate for degree $\pm 1$ conformal maps on $S^{2}$