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Asymptotically finite dimensional pullback behaviour of non-autonomous PDEs
Authors:J. A. Langa
Affiliation:(1) Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, 1160, 41080 Sevilla, Spain
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.
Keywords:37B25  35B41  37L30
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