The obstacle problem for parabolic Monge-Ampère equation
type: Item
instance of: scholarly article
title: The obstacle problem for parabolic Monge-Ampère equation
zbMATH Open document ID: 1480.35289
author: Ki-Ahm Lee
author: Taehun Lee
author: Jinwan Park
published in: Journal of Differential Equations
publication date: 2021-12-22T00:00:00Z
Mathematics Subject Classification ID: 35K86
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35K96
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 7450447
zbMATH Keywords: penalization method
zbMATH Keywords: regularity of the free boundary
MaRDI profile type: Publication
full work available at URL: j.jde.2021.11.038
OpenAlex ID: W4200416422
cites work: Convex viscosity solutions and state constraints
cites work: Global regularity for the free boundary in the obstacle problem for the fractional Laplacian
cites work: The regularity of free boundaries in higher dimensions
cites work: The obstacle problem revisited
cites work: Translating solutions to the Gauss curvature flow with flat sides
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
cites work: Regularity of a free boundary in parabolic potential theory
cites work: Obstacle problems for integro-differential operators: regularity of solutions and free boundaries
cites work: What is the Best Causal Scale Space for Three-Dimensional Images?
cites work: Free-boundary regularity on the focusing problem for the Gauss curvature flow with flat sides
cites work: Worn stones with flat sides all time regularity of the interface
cites work: \(C^{1,\alpha }\) regularity of solutions to parabolic Monge-Ampère equations
cites work: Classical solutions of fully nonlinear, convex, second-order elliptic equations
cites work: Shapes of worn stones
cites work: Q3994515
cites work: A general class of free boundary problems for fully nonlinear parabolic equations
cites work: The dirichlet problem for a class of fully nonlinear elliptic equations
cites work: \(C^ 2\) a priori estimates for degenerate Monge-Ampère equations
cites work: On a priori C 1, α and W 2, p estimates for a parabolic Monge-Ampere equation in the Gauss curvature flows
cites work: On the definition of viscosity solutions for parabolic equations
cites work: \(\alpha \)-Gauss curvature flows with flat sides
cites work: Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
cites work: Q4750171
cites work: Q3881213
cites work: THE OBSTACLE PROBLEM FOR MONGE-AMPÉRE EQUATION
cites work: Q4354424
cites work: Gauss curvature flow with an obstacle
cites work: The obstacle problem for the Monge-Ampère equation with the lower obstacle
cites work: Obstacle problem for a non-convex fully nonlinear operator
cites work: The regularity theory for the parabolic double obstacle problem
cites work: Regularity of a free boundary for viscosity solutions of nonlinear elliptic equations
cites work: Hausdorff measure and stability for the \(p\)-obstacle problem \((2<p<\infty)\).
cites work: Regularity of free boundaries in obstacle-type problems
cites work: Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Boundary regularity on the parabolic Monge-Ampère equation
cites work: Q3536061
cites work: A Priori Estimates for Fully Nonlinear Parabolic Equations
cites work: The obstacle problem for Monge-Ampère type equations in non-convex domains
DOI: 10.1016/J.JDE.2021.11.038
description: scientific article; zbMATH DE number 7450447