Geodesic
Moreau Sweeping Process with Bounded Truncated Retraction
Journal of convex analysis, Tome 23 (2016) no. 4, pp. 1051-1098
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The paper deals with sweeping process measure differential inclusions with data sets subject to the condition of bounded retraction along bounded truncation. Various basic properties are provided, and the existence and uniqueness of solution are established under the convexity of the data sets.
Classification : 34A60, 49J52, 49J24, 49J53
Mots-clés : Sweeping process, differential inclusion, bounded retraction along truncation, mapping of bounded variation, Radon measure, catching-up algorithm, normal cone, subdifferential 
@article{JCA_2016_23_4_JCA_2016_23_4_a3,
     author = {L. Thibault},
     title = {Moreau {Sweeping} {Process} with {Bounded} {Truncated} {Retraction}},
     journal = {Journal of convex analysis},
     pages = {1051--1098},
     year = {2016},
     volume = {23},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_4_JCA_2016_23_4_a3/}
}
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L. Thibault. Moreau Sweeping Process with Bounded Truncated Retraction. Journal of convex analysis, Tome 23 (2016) no. 4, pp. 1051-1098. http://geodesic.mathdoc.fr/item/JCA_2016_23_4_JCA_2016_23_4_a3/