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Physical Sciences and Engineering Mathematics Analysis

On uniqueness class for a heat equation on graphs

Article ID Journal Published Year Pages File Type
4617288 Journal of Mathematical Analysis and Applications 2012 12 Pages PDF
Abstract

We study the uniqueness class problem for a class of heat equations defined on weighted graphs. As an application, we recover the volume growth criterion for stochastic completeness of Grigor’yan, Huang and Masamune in the case of weighted graphs.

Keywords
Stochastic completenessCauchy problemHeat equationGraphs
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On uniqueness class for a heat equation on graphs
Authors
Xueping Huang,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Stochastic completeness
Cauchy problem
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