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Analysis of spatio-temporally sparse optimal control problems of semilinear parabolic equations


Abstract: Optimal control problems with semilinear parabolic state equations are considered. The objective features one out of three different terms promoting various spatio-temporal sparsity patterns of the control variable. For each problem, first-order necessary optimality conditions, as well as secondorder necessary and sufficient optimality conditions are proved. The analysis includes the case in which the objective does not contain the squared norm of the control.

 Autoría: Casas E., Herzog R., Wachsmuth G.,

 Fuente: ESAIM: Control, Optimisation and Calculus of Variations, 2017, 23 (1), 263-295

Editorial: EDP Sciences; Société de Mathématiques Appliquées et Industrielles (SMAI)

 Fecha de publicación: 01/01/2017

Nº de páginas: 33

Tipo de publicación: Artículo de Revista

DOI: 10.1051/cocv/2015048

ISSN: 1292-8119,1262-3377

Proyecto español: MTM2011- 22711

Url de la publicación: https://doi.org/10.1051/cocv/2015048

Autores/as

HERZOG, ROLAND
WACHSMUTH, GERD