Semigroups and linear partial differential equations with delay

被引：94

作者：

Bátkai, A ^{[1
]}

Piazzera, S ^{[1
]}

机构：

[1] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 264卷 / 01期

关键词：

C-0-semigroups; delay equations; exponential stability;

D O I：

10.1006/jmaa.2001.6705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the equivalence of the well-posedness of a partial differential equation with delay and an associated abstract Cauchy problem. This is used to derive sufficient conditions for well-posedness, exponential stability and norm continuity of the solutions. Applications to a reaction-diffusion equation with delay arc given. (C) 2001 Elsevier Science.

引用

页码：1 / 20

页数：20

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