Asymptotically finite dimensional pullback behaviour of non-autonomous PDEs |
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Authors: | J. A. Langa |
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Affiliation: | (1) Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, 1160, 41080 Sevilla, Spain |
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Abstract: | The asymptotic behaviour of general non-autonomous partial differential equationscan be described using the concept of pullback attractor. This is, under suitable hypotheses, a time-dependentfamily of finite-dimensional compact sets. In this work we investigate how this finite-dimensionaldynamics on the attractor determines the asymptotic behaviour of non-autonomous PDEs. |
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Keywords: | 37B25 35B41 37L30 |
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