Non-Negative Solutions of the Heat Equation on a Graph and Eigenvalue Bounds

被引：1

作者：

Weber, Andreas ^{[1
]}

机构：

[1] KIT, Inst Algebra & Geometrie, D-76128 Karlsruhe, Germany

来源：

RESULTS IN MATHEMATICS | 2010年 / 57卷 / 3-4期

关键词：

Laplacian on a locally finite graph; non-negative solutions of the heat equation; eigenvalue bounds; MANIFOLDS;

D O I：

10.1007/s00025-010-0022-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this note is to give a lower bound for the decay of non-negative solutions for the heat equation on a locally finite graph. Furthermore, we estimate the eigenvalues of the Dirichlet-Laplacian from below.

引用

页码：221 / 228

页数：8