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.

Bibliographic Details
Main Authors: Luiz A. F. de Oliveira, Antonio L. Pereira, Marcone C. Pereira
Format: Article
Language:English
Published: Texas State University 2005-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/100/abstr.html