Characteristic conditions of the generation of C0 semigroups in a Hilbert space

被引：33

作者：

Shi, DH ^{[1
]}

Feng, DX

机构：

[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 247卷 / 02期

关键词：

C-0; semigroups; generation conditions; Hilbert space; non-dissipative systems;

D O I：

10.1006/jmaa.2000.6810

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper new characteristic conditions, in terms of A and the first order resolvent of A and A*, which assure that A generates a C-0 semigroup in a Hilbert space are proposed and proved. The conditions can be used to investigate the well-posedness problem of non-dissipative systems. An example is also given to show how to use them. (C) 2000 Academic Press.

引用

页码：356 / 376

页数：21

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