INTEGRATED SEMIGROUPS AND INTEGRATED SOLUTIONS TO ABSTRACT CAUCHY-PROBLEMS

被引：157

作者：

THIEME, HR

机构：

[1] Department of Mathematics, Arizona State University, Tempe

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 152卷 / 02期

关键词：

D O I：

10.1016/0022-247X(90)90074-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Concepts which have been developed in the theory of weakly* continuous semigroups on dual Banach spaces are extended to "integrated semigroups." The relation to integrated solutions of homogeneous and inhomogeneous abstract Cauchy problems is established. The results are illustrated for the wave equation in L2(Rm). © 1990.

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页码：416 / 447

页数：32

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