Optimal design via variational principles: The one-dimensional case

Authors
Bellido, JC Pedregal, P
Citation
Jc. Bellido et P. Pedregal, Optimal design via variational principles: The one-dimensional case, J MATH P A, 80(2), 2001, pp. 245-261
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN journal
00217824 → ACNP
Volume
80
Issue
2
Year of publication
2001
Pages
245 - 261
Database
ISI
SICI code
0021-7824(200103)80:2<245:ODVVPT>2.0.ZU;2-X
Abstract
By reformulating a typical optimal design problem in a variational format, we are able to prove existence results in a rather general framework allowi ng non-linear state equations and costs functional depending on derivatives of states. In this work, we restrict attention to the one-dimensional situ ation. (C) 2001 Editions scientifiques et medicales Elsevier SAS.