Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain

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Dynamics in dumbbell domains III. Continuity of attractors (2009, methodology): “This is done in a very similar manner as in [2].”
Dynamics in dumbbell domains I. Continuity of the set of equilibria (2006, methodology): “In [ 6 , 1] this same technique is used to obtain the continuity (upper and lower semicontinuity) of the attractors of reaction diusion equations with Neumann boundary conditions when the domain is perturbed.”
A General Approximation Scheme for Attractors of Abstract Parabolic Problems (2006, methodology): “Our approach resembles the steps described in [7] in a rather general abstract formulation.”