Differentiability of solutions of the second order abstract Cauchy problem

被引：21

作者：

Henríquez, HR ^{[1
]}

Vásquez, CH ^{[1
]}

机构：

[1] Univ Santiago Chile, Dept Matemat, Santiago, Chile

来源：

SEMIGROUP FORUM | 2002年 / 64卷 / 03期

关键词：

cosine functions of operators; abstract Cauchy problem; differentiability of solutions;

D O I：

10.1007/s002330010092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the differentiability of solutions of the second order abstract Cauchy problem when the underlying space is reflexive or at least has the Radon-Nikodym property. We consider the linear and semilinear case.

引用

页码：472 / 488

页数：17

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