The asymptotic behaviour of the heat equation in a sheared unbounded strip

Autor:	Tichý, Michal
Rok vydání:	2020
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We show that the geometric deformation of shearing yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in an unbounded strip. The proof is based on the Hardy inequality due to the shearing established in [2] and the method of self-similar variables and weighted Sobolev spaces for the heat equation.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.05867 Zobrazit plný text záznamu View this record from Arxiv