PSEUDO-ALMOST AUTOMORPHIC SOLUTIONS TO SOME CLASSES OF NONAUTONOMOUS PARTIAL EVOLUTION EQUATIONS

被引：0

作者：

Diagana, Toka ^{[1
]}

机构：

[1] Howard Univ, Dept Math, 2441 6th St NW, Washington, DC 20059 USA

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2009年 / 1卷 / 04期

关键词：

sectorial operator; evolution family; exponential dichotomy; hyperbolic evolution family; Acquistapace and Terreni conditions; almost automorphic; pseudo-almost automorphic; hyperbolic evolution equation; nonautonomous equation; heat equation in divergence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

this paper we obtain the existence of pseudo-almost automorphic solutions to some classes of nonautonomous partial evolution equations. To illustrate our main result, we study the existence of a pseudo-almost automorphic solution to a nonautonomous heat equation.

引用

页码：561 / 582

页数：22

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