Artículo
A corrector for a wave problem with periodic coefficients in a 1D bounded domain
Autor/es | Casado Díaz, Juan
Couce Calvo, Julio Maestre Caballero, Faustino Martín Gómez, José Domingo |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2015 |
Fecha de depósito | 2016-06-10 |
Publicado en |
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Resumen | We consider a wave problem posed in a bounded open interval of R, where the coefficients, the initial conditions and the right-hand side are highly oscillating, periodic in the space variable and almost periodic in the ... We consider a wave problem posed in a bounded open interval of R, where the coefficients, the initial conditions and the right-hand side are highly oscillating, periodic in the space variable and almost periodic in the time one. Our purpose is to find not only the corresponding limit equation but a corrector, i.e. a strong approximation in the H1 topology, which for the wave equation is known to be non-local. In a previous paper we have studied this problem in the whole RN, here we consider the case of a bounded domain in dimension one. Thus the novelty in this paper is the analysis of the boundary conditions. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2011-24457 |
Cita | Casado Díaz, J., Couce Calvo, J., Maestre Caballero, F. y Martín Gómez, J.D. (2015). A corrector for a wave problem with periodic coefficients in a 1D bounded domain. ESAIM: Control, Optimisation and Calculus of Variations, 21 (2), 465-486. |
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