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.
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页码：356 / 376
页数：21
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