Exponential stability for a plate equation with p-Laplacian and memory terms


Autoria(s): Andrade, D.; Jorge Silva, M. A.; Ma, To Fu
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

06/11/2013

06/11/2013

2012

Resumo

This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p-Laplacian type, utt+?2u-?pu+?0tg(t-s)?u(s)ds-?ut+f(u)=0inOXR+, with simply supported boundary condition, where O is a bounded domain of RN, g?>?0 is a memory kernel that decays exponentially and f(u) is a nonlinear perturbation. This kind of problem without the memory term models elastoplastic flows.

Fundacao Araucaria [18695/2010]

FAPESP [2008/00123-7, 2010/12202-9]

CNPq [304560/2008-1]

Identificador

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, MALDEN, v. 35, n. 4, pp. 417-426, 2012

0170-4214

http://www.producao.usp.br/handle/BDPI/42355

10.1002/mma.1552

http://dx.doi.org/10.1002/mma.1552

Idioma(s)

eng

Publicador

WILEY-BLACKWELL

MALDEN

Relação

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Direitos

restrictedAccess

Copyright WILEY-BLACKWELL

Palavras-Chave #PLATE EQUATION #P-LAPLACIAN #MEMORY #ELASTOPLASTIC FLOWS #ENERGY DECAY #SEMILINEAR WAVE-EQUATION #EXISTENCE UNIQUENESS #EVOLUTION EQUATION #WEAK SOLUTIONS #DECAY #MODELS #MICROSTRUCTURE #MATHEMATICS, APPLIED
Tipo

article

original article

publishedVersion