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Perturbation of the diffusion and upper semicontinuity of attractors

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Arrieta Algarra, José María and Carvalho, Alexandre N. and Rodríguez Bernal, Aníbal (1999) Perturbation of the diffusion and upper semicontinuity of attractors. Applied Mathematics Letters, 12 (5). pp. 37-42. ISSN 0893-9659

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Official URL: http://www.sciencedirect.com/science/article/pii/S0893965999000695


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Abstract

We obtain uniform bounds for attractors of parabolic problems with nonlinear boundary conditions with respect to perturbations in the diffusion coefficients. These bounds are the main tool to obtain continuity properties of the attractors relatively to perturbations of the diffusion coefficient. We study two examples where the diffusion is perturbed: one related to homogenization theory and the other taken from composite materials where the diffusion goes to infinity in some subdomain.


Item Type:Article
Uncontrolled Keywords:Parabolic problems; Perturbation of the diffusion; Uniform bounds; Upper semicontinuity of attractors
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:17929
Deposited On:24 Jan 2013 11:42
Last Modified:12 Dec 2018 15:07

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