Artículo
Pullback attractor for a non-linear evolution equation in elasticity
Autor/es | Caraballo Garrido, Tomás
Colucci, Renato |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2014 |
Fecha de depósito | 2015-04-08 |
Publicado en |
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Resumen | We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory. The existence of several families of bounded absorbing ... We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory. The existence of several families of bounded absorbing sets is first proved in several spaces, and owing to the compactness of some inclusions between Sobolev spaces, we can then ensure the existence of a family of compact absorbing sets in the pullback sense and, as a consequence, the existence of a pullback attractor. |
Cita | Caraballo Garrido, T. y Colucci, R. (2014). Pullback attractor for a non-linear evolution equation in elasticity. Nonlinear Analysis: Real World Applications, 15, 80-88. |
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