Uniqueness for parabolic equations without growth condition and applications to the mean curvature flow in \(\mathbb R^2\)

DOI10.1016/S0022-0396(02)00071-2zbMath1028.35067MaRDI QIDQ1864667

Samuel Biton, Olivier Ley, Guy Barles

Publication date: 18 March 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

quasilinear parabolic equationssub- and supersolutionsviscosity solutionsmean curvature equationslevel set formulationgeneral comparison theorem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items

Uniqueness of unbounded solutions of the Lagrangian mean curvature flow equation for graphs ⋮ Existence and uniqueness of solutions to parabolic equations with superlinear Hamiltonians ⋮ Exponentially growing solutions of parabolic Isaacs' equations ⋮ A smoothing method of global optimization that preserves global minima ⋮ Unbounded viscosity solutions of hybrid control systems ⋮ Existence of solution for a class of heat equation in whole \(\mathbb{R}^N\) ⋮ Uniqueness without Growth Condition for the Mean Curvature Equation with Radial Initial Data ⋮ Viscosity Solutions of Hybrid Game Problems with Unbounded Cost Functionals ⋮ Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN

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