A HILLE-YOSIDA THEOREM FOR WEAKLY CONTINUOUS SEMIGROUPS

被引：92

作者：

CERRAI, S ^{[1
]}

机构：

[1] SCUOLA NORMALE SUPER PISA,I-56126 PISA,ITALY

来源：

SEMIGROUP FORUM | 1994年 / 49卷 / 03期

关键词：

D O I：

10.1007/BF02573496

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new class of weakly continuous semigroups and give a characterization of their infinitesimal generators, generalizing the classical Hille-Yosida Theorem for strongly continuous semigroups. The results are illustrated by the example of transition semigroups corresponding to the solutions of certain stochastic differential equations.

引用

页码：349 / 367

页数：19

共 6 条

[1]

Da Prato G., 1987, ANN SCUOLA NORM-SCI, V14, P285

[2] NONAUTONOMOUS EVOLUTION OPERATORS OF HYPERBOLIC TYPE [J].