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.
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页码：221 / 228
页数：8
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