Optimal design of stratified media

0410834 - UTIA-B 20020048 RIV JP eng J - Článek v odborném periodiku
Bouchitee, G. - Roubíček, Tomáš
Optimal design of stratified media.
Advances in Mathematical Sciences and Applications. Roč. 12, č. 1 (2002), s. 135-150. ISSN 1343-4373
Grant CEP: GA AV ČR IAA1075005; GA ČR GA201/00/0768
Výzkumný záměr: CEZ:AV0Z1075907
Klíčová slova: linear elliptic equation * homogenization * optimal control in coefficients
Kód oboru RIV: BA - Obecná matematika

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.
Trvalý link: http://hdl.handle.net/11104/0130921