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Flatness implies smoothness for solutions of the porous medium equation

Calculus of variations and partial differential equations, 2018-02, Vol.57 (1), Article 18

2018

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A critical blow-up exponent in a chemotaxis system with nonlinear signal production

Nonlinearity, 2018-05, Vol.31 (5), p.2031-2056

Winkler, Michael

2018

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Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture

Nonlinearity, 2024-12, Vol.37 (12), p.125006

2024

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Critical sharp front for doubly nonlinear degenerate diffusion equations with time delay

Nonlinearity, 2022-07, Vol.35 (7), p.3358-3384

2022

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Gradient estimates for a class of parabolic systems

Duke mathematical journal, 2007-02, Vol.136 (2), p.285-320

2007

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Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction

Nonlinearity, 2023-08, Vol.36 (8), p.4438-4469

Winkler, Michael

2023

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A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up

Communications in partial differential equations, 2017-03, Vol.42 (3), p.436-473

2017

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Existence of traveling wave solutions for density-dependent diffusion competitive systems

Nonlinearity, 2024-09, Vol.37 (9), p.95031

2024

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Global Calderón–Zygmund theory for nonlinear parabolic systems

Calculus of variations and partial differential equations, 2014-11, Vol.51 (3-4), p.555-596

Bogelein, Verena

2014

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Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients

Journal of the London Mathematical Society, 2021-09, Vol.104 (2), p.688-746

2021

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On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients

Potential analysis, 2024-05

2024

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Regularity results for a class of widely degenerate parabolic equations

Advances in calculus of variations, 2024-07, Vol.17 (3), p.805-829

2024

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Global existence for a class of large solution to compressible Navier–Stokes equations with vacuum

Mathematische annalen, 2024-02, Vol.388 (2), p.2163-2194

2024

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Global weak solutions for an attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source

Acta mathematica scientia, 2024-05, Vol.44 (3), p.909-924

2024

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Curve shortening flow on Riemann surfaces with conical singularities

Mathematische annalen, 2024, Vol.390 (2), p.2337-2411

2024

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Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

Advanced nonlinear studies, 2022-03, Vol.22 (1), p.88-117

Winkler, Michael

2022

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Global solutions to a haptotaxis system with a potentially degenerate diffusion tensor in two and three dimensions

Nonlinearity, 2023-02, Vol.36 (2), p.1245-1278

Heihoff, Frederic

2023

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Gradient higher integrability for singular parabolic double-phase systems

Nonlinear differential equations and applications, 2024-05, Vol.31 (3), Article 40

2024

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A degenerate migration-consumption model in domains of arbitrary dimension

Advanced nonlinear studies, 2024-07, Vol.24 (3), p.592-615

Winkler, Michael

2024

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Double-phase parabolic equations with variable growth and nonlinear sources

Advances in nonlinear analysis, 2023-01, Vol.12 (1), p.304-335

2023

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Gradient estimates for an orthotropic nonlinear diffusion equation

Advances in calculus of variations, 2023-07, Vol.16 (3), p.705-730

2023

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Fundamental solution and long time behavior of the Porous Medium Equation in hyperbolic space

Journal de mathématiques pures et appliquées, 2015-09, Vol.104 (3), p.454-484

Vázquez, Juan Luis

2015

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On the Structure of Entropy Solutions to the Riemann Problem for a Degenerate Nonlinear Parabolic Equation

Journal of dynamics and differential equations, 2024-04

Panov, Evgeny Yu

2024

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A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation

Journal of evolution equations, 2024-06, Vol.24 (2), Article 27

Tavakoli, Alireza

2024

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On the weak Harnack estimate for nonlocal equations

Calculus of variations and partial differential equations, 2024-04, Vol.63 (3), Article 67

Prasad, Harsh

2024

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Flatness implies smoothness for solutions of the porous medium equation

A critical blow-up exponent in a chemotaxis system with nonlinear signal production

Radial blow-up in quasilinear Keller-Segel systems: approaching the full picture

Critical sharp front for doubly nonlinear degenerate diffusion equations with time delay

Gradient estimates for a class of parabolic systems

Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction

A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up

Existence of traveling wave solutions for density-dependent diffusion competitive systems

Global Calderón–Zygmund theory for nonlinear parabolic systems

Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients

On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients

Regularity results for a class of widely degenerate parabolic equations

Global existence for a class of large solution to compressible Navier–Stokes equations with vacuum

Global weak solutions for an attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source

Curve shortening flow on Riemann surfaces with conical singularities

Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

Global solutions to a haptotaxis system with a potentially degenerate diffusion tensor in two and three dimensions

Gradient higher integrability for singular parabolic double-phase systems

A degenerate migration-consumption model in domains of arbitrary dimension

Double-phase parabolic equations with variable growth and nonlinear sources

Gradient estimates for an orthotropic nonlinear diffusion equation

Fundamental solution and long time behavior of the Porous Medium Equation in hyperbolic space

On the Structure of Entropy Solutions to the Riemann Problem for a Degenerate Nonlinear Parabolic Equation

A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation

On the weak Harnack estimate for nonlocal equations

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