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Doctoral Thesis
DOI
10.11606/T.55.2018.tde-04072018-103311
Document
Author
Full name
Claudia Buttarello Gentile
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1999
Supervisor
Committee
Carvalho, Alexandre Nolasco de (President)
Neves, Aloisio Jose Freiria
Oliveira, Luiz Augusto Fernandes de
Ruas Filho, Jose Gaspar
Simal, Janete Crema
Title in Portuguese
Problemas Parabólicos Quasi-Lineares com Parte Principal Monótona: Comparação e Existência de Atrator
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Neste trabalho nós provamos a existência de atratores globais para equações escalares hiperbólicas com atrito linear em domínios suaves Ω ⊂ R3 fwtt + βwt = Δw + f(w) em Ω, w = 0 em ∂Ω com o termo não linear satisfazendo uma condição de crescimento subcrítico.
Title in English
Existence of global attractors for hyperbolic equations: the case of subcritical growth in three-dimensional domains
Keywords in English
Not available
Abstract in English
In this work we prove the existence of global attractors for the scalar linearly damped hyperbolic equation in a bounded smooth domain Ω ⊂ R3 wtt βwt= Δw + f(w) in Ω, w = 0 in ∂Ω, when the nonlinear term grows subcritically.
 
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Publishing Date
2018-07-04
 
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