Artículo
Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
Autor/es | Calvo Jurado, Carmen
Casado Díaz, Juan Luna Laynez, Manuel |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2009 |
Fecha de depósito | 2016-06-10 |
Publicado en |
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Resumen | For a fixed bounded open set Ω ⊂ RN , a sequence of open sets Ωn ⊂ Ω and a sequence of sets Γn ⊂ ∂Ω ∩ ∂Ωn, we study the asymptotic behavior of the solution of a nonlinear elliptic system posed on Ωn, satisfying Neumann ... For a fixed bounded open set Ω ⊂ RN , a sequence of open sets Ωn ⊂ Ω and a sequence of sets Γn ⊂ ∂Ω ∩ ∂Ωn, we study the asymptotic behavior of the solution of a nonlinear elliptic system posed on Ωn, satisfying Neumann boundary conditions on Γn and Dirichlet boundary conditions on ∂Ωn \ Γn. We obtain a representation of the limit problem which is stable by homogenization and we prove that this representation depends on Ωn and Γn locally. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España Junta de Andalucía |
Identificador del proyecto | MTM2005-04914
FQM-309 |
Cita | Calvo Jurado, C., Casado Díaz, J. y Luna Laynez, M. (2009). Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets. ESAIM: Control, Optimisation and Calculus of Variations, 15, 49-67. |
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