Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditionsReport as inadecuate




Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions - Download this document for free, or read online. Document in PDF available to download.

* Corresponding author 1 IMT - Institut de Mathématiques de Toulouse UMR5219 2 Fachbereich Mathematik

Abstract : The nonnegative viscosity solutions to the infinite heat equation with homogeneous Dirichlet boundary conditions are shown to converge as time increases to infinity to a uniquely determined limit after a suitable time rescaling. The proof relies on the half-relaxed limits technique as well as interior positivity estimates and boundary estimates. The expansion of the support is also studied.

Keywords : infinite heat equation infinity-Laplacian friendly giant viscosity solution half-relaxed limits





Author: Philippe Laurencot - Christian Stinner -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents