Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 100, pp. 1-18.

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

Authors: Luiz A. F. de Oliveira (Univ. de Sao Paulo, Brazil)
         Antonio  L. Pereira (Univ. de Sao Paulo, Brazil)
	 Marcone C. Pereira (Univ. de Sao Paulo, Brazil)

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.
  
Submitted October 27, 2004. Published September 20, 2005.
Math Subject Classifications: 35B40, 35K20, 58D25.
Key Words: Parabolic equations; attractors; lower semi-continuity;
           perturbation of the domain.