Artículo
Asymptotic behaviour of nonlocal reaction-diffusion equations
Autor/es | Anguiano Moreno, María
Kloeden, Peter E. Lorenz, Thomas |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2010 |
Fecha de depósito | 2024-05-03 |
Resumen | The existence of a global attractor in L^2(Ω) is established for a reaction-diffusion equation on a bounded domain Ω in R^d with Dirichlet boundary conditions, where the reaction term contains an operator F : L^2(Ω) → ... The existence of a global attractor in L^2(Ω) is established for a reaction-diffusion equation on a bounded domain Ω in R^d with Dirichlet boundary conditions, where the reaction term contains an operator F : L^2(Ω) → L^2(Ω) which is nonlocal and possibly nonlinear. Existence of weak solutions is established, but uniqueness is not required. Compactness of the multivalued flow is obtained via estimates obtained from limits of Galerkin approximations. In contrast with the usual situation, these limits apply for all and not just for almost all time instants. |
Agencias financiadoras | Ministerio de Ciencia y Tecnología DFG grants |
Identificador del proyecto | BFM2002-03068
KL1203/7, LO273/5 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Anguiano_Kloeden_Lorenz.pdf | 400.3Kb | [PDF] | Ver/ | |