ON THE ABSTRACT CAUCHY-PROBLEM IN FRECHET SPACES

被引：0

作者：

HENRIQUEZ, HR

HERNANDEZ, EA

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 02期

关键词：

ABSTRACT CAUCHY PROBLEM; SEMIGROUP OF OPERATORS; COSINE FUNCTION OF OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a linear operator in a Frechet space X with the resolvent defined for all lambda > 0 . In this note we prove that both the first and the second order abstract Cauchy problems associated to A are well posed on certain maximal subspaces of X . Our results extend those of Kantorovitz [5] and Cioranescu [2].

引用

页码：353 / 360

页数：8

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