Continuity up to the boundary for obstacle problems to porous medium type equations

DOI10.1016/j.na.2024.113499arXiv2306.06009OpenAlexW4391668013MaRDI QIDQ6194951

Publication date: 12 March 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.06009

zbMATH Keywords

porous medium equation Cauchy-Dirichlet problem obstacle problem sign-changing solutions boundary regularity

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Singular parabolic equations (35K67) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Parabolic systems with \({p,q}\)-growth: a variational approach
The obstacle problem for the porous medium equation
Perron's method for the porous medium equation
Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation
On the regularity of parabolic equations and obstacle problems with quadratic growth nonlinearities
Degenerate diffusions. Initial value problems and local regularity theory
On the Hölder continuity of bounded weak solutions of quasi-linear parabolic inequalities
A boundary modulus of continuity for a class of singular parabolic equations
Quasilinear elliptic-parabolic differential equations
Hölder regularity for degenerate parabolic obstacle problems
A boundary estimate for singular parabolic diffusion equations
Boundary regularity for the porous medium equation
On the Hölder regularity of signed solutions to a doubly nonlinear equation
On the Hölder regularity for obstacle problems to porous medium type equations
A unified approach to the Hölder regularity of solutions to degenerate and singular parabolic equations
Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior
The obstacle problem for singular doubly nonlinear equations of porous medium type
The obstacle problem for degenerate doubly nonlinear equations of porous medium type
Harnack's Inequality for Degenerate and Singular Parabolic Equations
Hölder estimates for nonlinear degenerate parabolic sytems.
Definition and properties of supersolutions to the porous medium equation
Uniformly Fat Sets
Well-posedness of the Dirichlet problem for the non-linear diffusion equation in non-smooth domains
Hölder Regularity for Singular Parabolic Obstacle Problems of Porous Medium Type
On the Dirichlet problem for the nonlinear diffusion equation in non-smooth domains
On the Hölder regularity of signed solutions to a doubly nonlinear equation. II

This page was built for publication: Continuity up to the boundary for obstacle problems to porous medium type equations