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

被引：0

作者：

Tichy, Michal ^{[1
]}

机构：

[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Prague, Czech Republic

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 297卷

关键词：

Dirichlet Laplacian; Hardy inequality; Subcriticality; Heat equation; Large-time behaviour of solutions; Sheared strip; HARDY INEQUALITY;

D O I：

10.1016/j.jde.2021.06.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：575 / 600

页数：26

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