Higher integrability in the obstacle problem for the fast diffusion equation
DOI10.1016/j.jmaa.2020.124365zbMath1452.35084arXiv2004.07096OpenAlexW3041750383MaRDI QIDQ2207665
Publication date: 23 October 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.07096
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)
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Cites Work
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- The obstacle problem for the porous medium equation
- Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
- Degenerate parabolic equations
- Global gradient estimates for degenerate parabolic equations in nonsmooth domains
- A reverse Hölder inequality for the gradient of solutions to Trudinger's equation
- Regularity results for a class of obstacle problems under nonstandard growth conditions
- Regularity results for a class of obstacle problems.
- Very weak solutions of higher-order degenerate parabolic systems
- On the partial regularity of weak solutions on nonlinear parabolic systems
- Quasilinear elliptic-parabolic differential equations
- Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
- Boundary higher integrability for very weak solutions of quasilinear parabolic equations
- Higher integrability for parabolic systems of \(p\)-Laplacian type
- Higher integrability for obstacle problem related to the singular porous medium equation
- Higher integrability for the singular porous medium system
- Self-improving property of nonlinear higher order parabolic systems near the boundary
- Global higher integrability of weak solutions of porous medium systems
- Self-improving property of the fast diffusion equation
- The self-improving property of higher integrability in the obstacle problem for the porous medium equation
- Reverse Hölder inequalities for singular parabolic equations near the boundary
- The higher integrability of weak solutions of porous medium systems
- Hölder-Zygmund estimates for degenerate parabolic systems
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Harnack's Inequality for Degenerate and Singular Parabolic Equations
- Higher integrability in parabolic obstacle problems
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Global integrability of the gradients of solutions to partial differential equations
- Self-improving property of degenerate parabolic equations of porous medium-type
- Higher integrability for doubly nonlinear parabolic systems
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