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* 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





Autor: Philippe Laurencot - Christian Stinner -

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



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