Evolution linear equations of the Sobolev type on a graph

被引：0

作者：

G. A. Sviridyuk

P. O. Pivovarova

机构：

[1] South-Ural State University,

[2] Magnitogorsk State University,undefined

来源：

Differential Equations | 2010年 / 46卷

关键词：

Banach Space; Cauchy Problem; Sectorial Operator; Analytic Semigroup; Sectorial Property;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We analyze the stability and solvability of the Cauchy problem for the equations λujt − ujtxx = βujxx − αujxxxx +γuj + fj, which appear in filtration theory and are defined on a finite connected directed graph with continuity and flow balance conditions at its vertices.

引用

页码：1157 / 1163

页数：6

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