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].
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页码：353 / 360
页数：8
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