Artículo
Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution
Autor/es | Caraballo Garrido, Tomás
Herrera Cobos, Marta Marín Rubio, Pedro |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2017-07 |
Fecha de depósito | 2017-04-27 |
Publicado en |
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Resumen | In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To do this, we make use of a change of variable which transforms the original problem into a nonlocal ... In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To do this, we make use of a change of variable which transforms the original problem into a nonlocal one but with local diffusion. Since the uniqueness of solution is unknown, the asymptotic behaviour of the solutions is analysed in a multi-valued framework. Namely, the existence of the compact global attractor in L2(Ω) is ensured. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2011-22411
P12-FQM-1492 info:eu-repo/grantAgreement/MINECO/BES-2012-053398 |
Cita | Caraballo Garrido, T., Herrera Cobos, M. y Marín Rubio, P. (2017). Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution. Discrete and Continuous Dynamical Systems - Series B, 22 (5), 1801-1816. |
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