Existence in Optimal Control with State Equation in Divergence Form via Variational Principles
Journal of convex analysis, Tome 10 (2003) no. 2, pp. 365-378
Cet article a éte moissonné depuis la source Heldermann Verlag
We explore several relevant issues concerned with some typical two-dimensional optimal design problems by using a purely variational format. Specifically, we investigate situations of existence of optimal solutions and relaxation in terms of quasiconvexifications and Young measures.
Mots-clés :
Variational framework, existence-nonexistence of optimal solutions, relaxation, Young measures
@article{JCA_2003_10_2_JCA_2003_10_2_a3,
author = {J. C. Bellido and P. Pedregal},
title = {Existence in {Optimal} {Control} with {State} {Equation} in {Divergence} {Form} via {Variational} {Principles}},
journal = {Journal of convex analysis},
pages = {365--378},
year = {2003},
volume = {10},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2003_10_2_JCA_2003_10_2_a3/}
}
TY - JOUR AU - J. C. Bellido AU - P. Pedregal TI - Existence in Optimal Control with State Equation in Divergence Form via Variational Principles JO - Journal of convex analysis PY - 2003 SP - 365 EP - 378 VL - 10 IS - 2 UR - http://geodesic.mathdoc.fr/item/JCA_2003_10_2_JCA_2003_10_2_a3/ ID - JCA_2003_10_2_JCA_2003_10_2_a3 ER -
%0 Journal Article %A J. C. Bellido %A P. Pedregal %T Existence in Optimal Control with State Equation in Divergence Form via Variational Principles %J Journal of convex analysis %D 2003 %P 365-378 %V 10 %N 2 %U http://geodesic.mathdoc.fr/item/JCA_2003_10_2_JCA_2003_10_2_a3/ %F JCA_2003_10_2_JCA_2003_10_2_a3
J. C. Bellido; P. Pedregal. Existence in Optimal Control with State Equation in Divergence Form via Variational Principles. Journal of convex analysis, Tome 10 (2003) no. 2, pp. 365-378. http://geodesic.mathdoc.fr/item/JCA_2003_10_2_JCA_2003_10_2_a3/