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