Optimization, relaxation and Young measures

被引:36
作者
Pedregal, P [1 ]
机构
[1] Univ Castilla La Mancha, ETSI Ind, E-13071 Ciudad Real, Spain
关键词
integral functionals; oscillatory behavior; generalized optimization problems; local and nonlocal admissibility constraints;
D O I
10.1090/S0273-0979-99-00774-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We review the use of Young measures in analyzing relaxed and generalized formulations for typical problems of optimization including variational principles, optimal control problems, models in materials science, optimal design problems and nonlocal optimization problems.
引用
收藏
页码:27 / 58
页数:32
相关论文
共 72 条
[71]  
Young L.C., 1937, Comptes Rendus de la Societe des Sciences et des Lettres de Varsovie, V30, P212
[72]   Generalized surfaces in the Calculus of Variations [J].
Young, LC .
ANNALS OF MATHEMATICS, 1942, 43 :84-103