Higher order interpolative geometries and gradient regularity in evolutionary obstacle problems

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear parabolic equations with (p)-Laplacian (35K92) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets
A connection between a general class of superparabolic functions and supersolutions
Degenerate parabolic equations
On the singular set of the parabolic obstacle problem
Harnack estimates for quasi-linear degenerate parabolic differential equations
Existence for a degenerate Cauchy problem
Obstacle problem for nonlinear parabolic equations
Alternative forms of the Harnack inequality for non-negative solutions to certain degenerate and singular parabolic equations
Quasilinear elliptic-parabolic differential equations
Parabolic variational inequalities in one space dimension and smoothness of the free boundary
The obstacle problem revisited
Irregular time dependent obstacles
Analysis of the free boundary for the \(p\)-parabolic variational problem \((p\geq 2)\)
Optimal regularity for the obstacle problem for the \(p\)-Laplacian
On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients
On the regularity of the free boundary in the parabolic obstacle problem. Application to American options
Uniqueness of solutions of the Cauchy problem for parabolic equations
On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
A New Proof for the Equivalence of Weak and Viscosity Solutions for thep-Laplace Equation
Degenerate problems with irregular obstacles
Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations
Initial regularity for solutions of degenerate parabolic equations
BoundaryC1,α regularity for variational inequalities
Regularity of a free boundary in parabolic potential theory
On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation

This page was built for publication: Higher order interpolative geometries and gradient regularity in evolutionary obstacle problems