0410834 20240103182242.520060210235959.9 16 s. cav_un_epca*02938791343-4373121 (2002)135-150 linear elliptic equation homogenization optimal control in coefficients cav_un_auth*0212917 Bouchitee G. FR cav_un_auth*0101187 Roubíček Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12A IAA1075005 GA AV ČR cav_un_auth*0012782 GA201/00/0768 GA ČR cav_un_auth*0005685 CEZ:AV0Z1075907 An optimal control problem governed by a linear elliptic equation with a control acting as a coefficient matrix is considered. This matrix is symmetric, uniformly positive definite, can be large but may vary only in a single prescribed direction. Using a homogenization theory for posibly stiff stratified media, a relaxation theory is developed and, in a special case, differentiability of the extended cost functional is proved and a point-wise maximum principle necessary for an optimal composite is derived. BA MTR http://hdl.handle.net/11104/0130921 UTIA-B 20020048 2002 cav_un_epca*0293879 Advances in Mathematical Sciences and Applications 1343-4373 Roč. 12 č. 1 2002 135 150