A Skorokhod Problem Governed by a Closed Convex Moving Set
Journal of convex analysis, Tome 23 (2016) no. 2, pp. 387-423
We present several results in Skorokhod problems governed by a sweeping process with application to a Skorokhod differential equation in both deterministic and stochastic cases. In particular, we study a Skorokhod evolution inclusion involving the normal cone of a closed convex moving set with nonempty interior via Young measures.
Classification :
34H05, 34K35, 60H10
Mots-clés : Bounded variation, differential measure, normal cone, Skorokhod problem, sweeping process, stochastic differential equation, martingale solution, Young measure
Mots-clés : Bounded variation, differential measure, normal cone, Skorokhod problem, sweeping process, stochastic differential equation, martingale solution, Young measure
@article{JCA_2016_23_2_JCA_2016_23_2_a3,
author = {C. Castaing and M. D. P. Monteiro Marques and P. Raynaud de Fitte},
title = {A {Skorokhod} {Problem} {Governed} by a {Closed} {Convex} {Moving} {Set}},
journal = {Journal of convex analysis},
pages = {387--423},
year = {2016},
volume = {23},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_2_JCA_2016_23_2_a3/}
}
TY - JOUR AU - C. Castaing AU - M. D. P. Monteiro Marques AU - P. Raynaud de Fitte TI - A Skorokhod Problem Governed by a Closed Convex Moving Set JO - Journal of convex analysis PY - 2016 SP - 387 EP - 423 VL - 23 IS - 2 UR - http://geodesic.mathdoc.fr/item/JCA_2016_23_2_JCA_2016_23_2_a3/ ID - JCA_2016_23_2_JCA_2016_23_2_a3 ER -
%0 Journal Article %A C. Castaing %A M. D. P. Monteiro Marques %A P. Raynaud de Fitte %T A Skorokhod Problem Governed by a Closed Convex Moving Set %J Journal of convex analysis %D 2016 %P 387-423 %V 23 %N 2 %U http://geodesic.mathdoc.fr/item/JCA_2016_23_2_JCA_2016_23_2_a3/ %F JCA_2016_23_2_JCA_2016_23_2_a3
C. Castaing; M. D. P. Monteiro Marques; P. Raynaud de Fitte. A Skorokhod Problem Governed by a Closed Convex Moving Set. Journal of convex analysis, Tome 23 (2016) no. 2, pp. 387-423. http://geodesic.mathdoc.fr/item/JCA_2016_23_2_JCA_2016_23_2_a3/