Boundary regularity for the porous medium equation
From MaRDI portal
Publication:1783957
DOI10.1007/s00205-018-1251-3OpenAlexW2785122923WikidataQ109744189 ScholiaQ109744189MaRDI QIDQ1783957
Jana Björn, Anders Björn, Ugo Gianazza, Juhana Siljander
Publication date: 21 September 2018
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08005
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)
Related Items (5)
Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior ⋮ Sharp regularity for the inhomogeneous porous medium equation ⋮ Continuity up to the boundary for obstacle problems to porous medium type equations ⋮ Improved regularity for the porous medium equation along zero level sets ⋮ On the Hölder regularity for obstacle problems to porous medium type equations
Cites Work
- A connection between a general class of superparabolic functions and supersolutions
- The obstacle problem for the porous medium equation
- Perron's method for the porous medium equation
- Lower semicontinuity of weak supersolutions to nonlinear parabolic equations.
- Degenerate parabolic equations
- Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen
- Degenerate diffusions. Initial value problems and local regularity theory
- Non-negative solutions to fast diffusions
- A boundary modulus of continuity for a class of singular parabolic equations
- Non-negative solutions of generalized porous medium equations
- Large time behaviour of solutions of the porous medium equation in bounded domains
- Quasilinear elliptic-parabolic differential equations
- On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations
- A regularity condition at the boundary for solutions of quasilinear elliptic equations
- Elliptic partial differential equations of second order
- A criterion of Petrowsky's kind for a degenerate quasilinear parabolic equation
- Boundary regularity for degenerate and singular parabolic equations
- Very weak solutions of singular porous medium equations with measure data
- The Petrovskiĭ criterion and barriers for degenerate and singular \(p\)-parabolic equations
- Harnack's Inequality for Degenerate and Singular Parabolic Equations
- Non-negative solutions of theo porous medium eqation
- Definition and properties of supersolutions to the porous medium equation
- Stabilization of solutions of a degenerate nonlinear diffusion problem
- $L_{{\text{loc}}}^\infty $-Estimates for Local Solutions of Degenerate Parabolic Equations
- Interior and Boundary Continuity of Weak Solutions of Degenerate Parabolic Equations
- Well-posedness of the Dirichlet problem for the non-linear diffusion equation in non-smooth domains
- On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation
- Lower semicontinuity of weak supersolutions to the porous medium equation
- Porous Medium Type Equations with Measure Data and Potential Estimates
- On the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Boundary regularity for the porous medium equation