Luiz A. F. de Oliveira, Antonio L. Pereira, Marcone C. Pereira
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.
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Luiz A. F. de Oliveira Instituto de Matemática e Estatística Universidade de São Paulo São Paulo, Brazil email: luizaug@ime.usp.br |
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Antˆnio L. Pereira Instituto de Matemática e Estatística Universidade de São Paulo São Paulo, Brazil email: alpereir@ime.usp.br |
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Marcone Correa Pereira Escola de Artes, Ciências e Humanidades Universidade de São Paulo São Paulo, Brazil email: marcone@usp.br |
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