Differentiability of Solutions of the Second Order Abstract Cauchy Problem

Hernán R. Henríquez; Carlos H. Vásquez

doi:10.1007/s002330010092

Differentiability of Solutions of the Second Order Abstract Cauchy Problem

Hernán R. Henríquez, Carlos H. Vásquez

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	472-488
Number of pages	17
Journal	Semigroup Forum
Volume	64
Issue number	3
DOIs	https://doi.org/10.1007/s002330010092
State	Published - 2002
Externally published	Yes

Keywords

Abstract Cauchy Problem
Cosine Functions of Operators
Differentiability of Solutions

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title = "Differentiability of Solutions of the Second Order Abstract Cauchy Problem",

abstract = "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.",

keywords = "Abstract Cauchy Problem, Cosine Functions of Operators, Differentiability of Solutions",

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KW - Abstract Cauchy Problem

KW - Cosine Functions of Operators

KW - Differentiability of Solutions

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U2 - 10.1007/s002330010092

DO - 10.1007/s002330010092

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JO - Semigroup Forum

JF - Semigroup Forum

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Differentiability of Solutions of the Second Order Abstract Cauchy Problem

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