Pseudo almost periodic mild solutions to hyperbolic evolution equations in intermediate Banach spaces

This article deals with the existence and uniqueness of pseudo almost periodic (mild) solutions to the class of partial evolution equations where A is a sectorial operator on a Banach space , which is not necessarily densely defined and (hyperbolic), B is a linear operator on , and is pseudo almost...

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Bibliographic Details
Published inApplicable analysis Vol. 85; no. 6-7; pp. 769 - 780
Main Authors Diagana, Toka, N'gué ré kata§, Gaston M.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.06.2006
Subjects
2000 Mathematics Subject Classifications:34G20
Almost periodic
Analytic semigroup
Hyperbolic evolution equation
Hyperbolic semigroup
Pseudo almost periodic
Sectorial operator
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Summary:This article deals with the existence and uniqueness of pseudo almost periodic (mild) solutions to the class of partial evolution equations where A is a sectorial operator on a Banach space , which is not necessarily densely defined and (hyperbolic), B is a linear operator on , and is pseudo almost periodic with being an abstract intermediate Banach space. Under some appropriate assumptions, we obtain the existence and uniqueness of such solutions in . An application to semilinear transport-like equations is given.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0003-6811
1563-504X
DOI:10.1080/00036810600708499