On a variational principle for shape optimization and elliptic free boundary problems

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awdur: González De Paz, Raúl B.
Fformat: artículo original
Statws:Versión publicada
Dyddiad Cyhoeddi:1999
Disgrifiad:A variational principle for several free boundary value problems using a relaxation approach is presented. The relaxed Energy functional is concave and it is defined on a convex set, so that the minimizing points are characteristic functions of sets. As a consequence of the first order optimality conditions, it is shown that the corresponding sets are domains bounded by free boundaries, so that the equivalence of the solution of the relaxed problem with the solution of several free boundary value problem is proved.
Gwlad:Portal de Revistas UCR
Sefydliad:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Iaith:Español
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/169
Mynediad Ar-lein:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/169
Allweddair:Calculus of variations
optimization
free boundary problems
Cálculo de variaciones
optimización
problema de frontera libre