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Optimal control of semilinear elliptic equations in measure spaces

Abstract: Optimal control problems in measure spaces governed by semilinear elliptic equations are considered. First order optimality conditions are derived and structural properties of their solutions, in particular sparsity, are discussed. Necessary and sufficient second order optimality conditions are obtained as well. On the basis of the sufficient conditions, stability of the solutions is analyzed. Highly nonlinear terms can be incorporated by utilizing an L8(O) regularity result for solutions of the first order necessary optimality conditions.

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Autoría: Casas E., Kunisch K.,

Fuente: Siam Journal on Control and Optimization, 2014, 52(1), 339-364

Editorial: Society for Industrial and Applied Mathematics

Año de publicación: 2014

Nº de páginas: 26

Tipo de publicación: Artículo de Revista

DOI: 10.1137/13092188X

ISSN: 0363-0129,1095-7138

Proyecto español: MTM2011-22711

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Autoría

EDUARDO CASAS RENTERIA

KUNISCH, KARL

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