Continuity of attractors for a reaction-diffusion problem with respect to variations of the domain

We show that for a class of dissipative semilinear parabolic problems, the global attractor varies continuously (upper and lower semi-continuously) with respect to perturbations of the spatial domain.

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Bibliographic Details
Published in:Electronic journal of differential equations Vol. 2005; no. 100; pp. 1 - 18
Main Authors: Luiz A. F. de Oliveira, Antonio L. Pereira, Marcone C. Pereira
Format: Journal Article
Language:English
Published: Texas State University 20-09-2005
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Summary:We show that for a class of dissipative semilinear parabolic problems, the global attractor varies continuously (upper and lower semi-continuously) with respect to perturbations of the spatial domain.
ISSN:1072-6691