Integrated semigroups and linear partial differential equations with delay

被引：4
|
作者：
Kaiser, C [1 ]
机构：
[1] Univ Karlsruhe, Inst Math 1, D-76128 Karlsruhe, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 292卷 / 02期
关键词：
integrated semigroup; delay equation; perturbation;
D O I：
10.1016/j.jmaa.2003.10.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study existence and uniqueness of solutions for linear partial differential equations with delay in LP-spaces using an approach of Batkai and Piazzera and a recent perturbation result for integrated semigroups. We apply our result to an equation with delay in the highest-order derivatives. (C) 2003 Elsevier Inc. All rights reserved.
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页码：328 / 339
页数：12
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