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Pullback attractors for a semilinear heat equation on time-varying domains |
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| Authors: | Peter E. Kloeden,José Real |
| Affiliation: | a Institut für Mathematik, Johann Wolfgang Goethe-Universität, D-60054 Frankfurt am Main, Germany b Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080 Sevilla, Spain c School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China |
| Abstract: | The existence of a pullback attractor is established for the nonautonomous dynamical system generated by the weak solutions of a semilinear heat equation on time-varying domains with homogeneous Dirichlet boundary conditions. It is assumed that the spatial domains Ot in RN are obtained from a bounded base domain O by a C2-diffeomorphism, which is continuously differentiable in the time variable, and are contained, in the past, in a common bounded domain. |
| Keywords: | 35Q30 35K90 37L30 |
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