Refined Asymptotics for the Infinite Heat Equation with Homogeneous Dirichlet Boundary Conditions

DOI10.1080/03605302.2010.498493zbMath1227.35068arXiv1004.4418OpenAlexW3099618272MaRDI QIDQ3086356

Philippe Laurençot, Christian Stinner

Publication date: 30 March 2011

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

Full work available at URL: https://arxiv.org/abs/1004.4418

zbMATH Keywords

boundary estimatesexpansion of supporthalf-relaxed limits techniqueinterior positivity estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Viscosity solutions to PDEs (35D40)

Related Items (5)

Parabolic biased infinity Laplacian equation related to the biased tug-of-war ⋮ A Porous Medium Equation Involving the Infinity-Laplacian. Viscosity Solutions and Asymptotic Behavior ⋮ An inhomogeneous evolution equation involving the normalized infinity Laplacian with a transport term ⋮ Large time behavior of solutions for the porous medium equation with a nonlinear gradient source ⋮ Viscosity solutions to a parabolic inhomogeneous equation associated with infinity Laplacian

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