Almost automorphic solutions to some classes of partial evolution equations

被引：32
作者：
Diagana, Toka
N'Guerekata, Gaston M.
机构：
[1] Howard Univ, Dept Math, Washington, DC 20059 USA
[2] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA
[3] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 04期
关键词：
almost automorphic function; exponentially stable semigroup; existence and uniqueness of almost automorphic solutions; partial differential equations; heat equation;
D O I：
10.1016/j.aml.2006.05.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give in this work some sufficient conditions for the existence and uniqueness of almost automorphic (mild) solutions to some classes of partial evolution equations. Then we use our abstract results to discuss the existence and uniqueness of almost automorphic solutions to some partial differential equations. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：462 / 466
页数：5
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