Article
Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
Author/s | Kloeden, Peter E.
Marín Rubio, Pedro Real Anguas, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2008 |
Deposit Date | 2015-06-23 |
Published in |
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Abstract | The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption ... The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non-autonomous dynamical system generated by this class of solutions is shown to have a global pullback attractor. |
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