Strongly damped wave problems: Bootstrapping and regularity of solutions


Autoria(s): CARVALHO, A. N.; CHOLEWA, J. W.; DLOTKO, Tomasz
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2008

Resumo

The aim of the article is to present a unified approach to the existence, uniqueness and regularity of solutions to problems belonging to a class of second order in time semilinear partial differential equations in Banach spaces. Our results are applied next to a number of examples appearing in literature, which fall into the class of strongly damped semilinear wave equations. The present work essentially extends the results on the existence and regularity of solutions to such problems. Previously, these problems have been considered mostly within the Hilbert space setting and with the main part operators being selfadjoint. In this article we present a more general approach, involving sectorial operators in reflexive Banach spaces. (C) 2008 Elsevier Inc. All rights reserved.

Identificador

JOURNAL OF DIFFERENTIAL EQUATIONS, v.244, n.9, p.2310-2333, 2008

0022-0396

http://producao.usp.br/handle/BDPI/28872

10.1016/j.jde.2008.02.011

http://dx.doi.org/10.1016/j.jde.2008.02.011

Idioma(s)

eng

Publicador

ACADEMIC PRESS INC ELSEVIER SCIENCE

Relação

Journal of Differential Equations

Direitos

restrictedAccess

Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE

Palavras-Chave #damped wave equations #analytic semigroups #critical exponents #regularity #CRITICAL NONLINEARITIES #PARABOLIC EQUATIONS #GLOBAL ATTRACTORS #FRACTIONAL-POWERS #ELASTIC-SYSTEMS #OPERATORS #BEHAVIOR #SPACES #Mathematics
Tipo

article

original article

publishedVersion