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.

引用

页码：328 / 339

页数：12

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