Optimality conditions for nonconvex multistate control problems in the coefficients

The purpose of this paper is to attain some optimality conditions for the identification of a diffusion matrix (material) under several restrictions. Assuming that the set of such diffusion matrices is closed for the H-convergence, we give a method to obtain admissible directions which applies to a...

Descripción completa

Detalles Bibliográficos
Autores: Casado Díaz, Juan, Couce Calvo, Julio, Martín Gómez, José Domingo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42104
Acceso en línea:http://hdl.handle.net/11441/42104
https://doi.org/10.1137/S0363012902411714
Access Level:acceso abierto
Palabra clave:control in the coefficients
admissible directions
nonconvex control set
Descripción
Sumario:The purpose of this paper is to attain some optimality conditions for the identification of a diffusion matrix (material) under several restrictions. Assuming that the set of such diffusion matrices is closed for the H-convergence, we give a method to obtain admissible directions which applies to a not-necessarily convex control set. Our results permit obtaining the diffusion matrix from the state functions.