Asymptotic behavior of solutions to a class of nonlocal non-autonomous diffusion equations

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Autor(es):	Bezerra, F. D. M. ^[1] ; Nascimento, M. J. D. ^[2] ; da Silva, S. H. ^[3] Número total de Autores: 3
Afiliação do(s) autor(es):	^[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba - Brazil ^[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil ^[3] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58051900 Campina Grande, PB - Brazil Número total de Afiliações: 3
Tipo de documento:	Artigo Científico
Fonte:	MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 38, n. 17, p. 4317-4329, NOV 30 2015.
Citações Web of Science:	0
Resumo
where Omega is a bounded smooth domain in R-N, N >= 1, beta is a positive constant, the coefficient a is a continuous bounded function on R, and K is an integral operator with symmetric kernel. (Ku) (x) := f(RN) J(x,y)u(y)dy, being J a non-negative function continuously differentiable on R-N x R-N and f(RN) J(, y)dy = 1. We prove the existence of global pullback attractor, and we exhibit a functional to evolution process generated by this problem that decreases along of solutions. Assuming the parameter. is small enough, we show that the origin is locally pullback asymptotically stable. Copyright (C) 2014 John Wiley \& Sons, Ltd. (AU)

Processo FAPESP:	11/04166-5 - Continuidade de atratores para problemas parabólicos
Beneficiário:	Marcelo José Dias Nascimento
Modalidade de apoio:	Auxílio à Pesquisa - Regular