Optimality conditions for nonconvex multistate control problems in the coefficients

Description

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.

Abstract

Dirección General de Investigación (Ministerio de Ciencia y Tecnología)

Abstract

Junta de Andalucía

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