A Free Boundary Problem with Curvature

DOI10.1081/PDE-200044474zbMath1069.35094MaRDI QIDQ4678917

Inwon Christina Kim

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

uniquenesscomparison principleviscosity solutionsexistence of minimal and maximal solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items

Nonlinear elliptic-parabolic problems, Viscosity solutions for a model of contact line motion, On mean curvature flow with forcing, Local smoothing effect and existence for the one-phase Hele–Shaw problem with zero surface tension

Cites Work

• A free boundary problem arising in flame propagation.
• Uniqueness and existence results on the Hele-Shaw and the Stefan problems
• An area-Dirichlet integral minimization problem
• User’s guide to viscosity solutions of second order partial differential equations
• Phase transitions and generalized motion by mean curvature