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

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφέας: González De Paz, Raúl B.
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:1999
Περιγραφή: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.
Χώρα:Portal de Revistas UCR
Ίδρυμα:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Γλώσσα:Español
OAI Identifier:oai:archivo.portal.ucr.ac.cr:article/169
Διαθέσιμο Online:https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/169
Λέξη-Κλειδί :Calculus of variations
optimization
free boundary problems
Cálculo de variaciones
optimización
problema de frontera libre