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

Date

2005-09-20

Authors

de Oliveira, Luiz A. F.
Pereira, Antonio L.
Pereira, Marcone C.

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

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.

Description

Keywords

Parabolic equations, Attractors, Lower semi-continuity, Perturbation of the domain

Citation

de Oliveira, L. A. F., Pereira, A. L., & Pereira, M. C. (2005). Continuity of attractors for a reaction-diffusion problem with respect to variations of the domain. <i>Electronic Journal of Differential Equations, 2005</i>(100), pp. 1-18.

Rights

Attribution 4.0 International

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