Geodesic
Sweeping Processes and Rate Independence
Journal of convex analysis, Tome 23 (2016) no. 3, pp. 921-946
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We introduce a new reparametrization technique for convex-valued functions of bounded variation. By means of this technique we are able to reduce discontinuous BV sweeping processes to the Lipschitz continuous case by using only tools from measure theory. In particular, from the regular case we deduce existence, continuous dependence, and convergence of the catching-up algorithm.
Classification : 34G25, 34A60, 47J20, 74C05
Mots-clés : Sweeping processes, differential inclusions, convex sets, Hausdorff distance, rate independence, functions of bounded variation 
@article{JCA_2016_23_3_JCA_2016_23_3_a11,
     author = {V. Recupero},
     title = {Sweeping {Processes} and {Rate} {Independence}},
     journal = {Journal of convex analysis},
     pages = {921--946},
     year = {2016},
     volume = {23},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2016_23_3_JCA_2016_23_3_a11/}
}
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V. Recupero. Sweeping Processes and Rate Independence. Journal of convex analysis, Tome 23 (2016) no. 3, pp. 921-946. http://geodesic.mathdoc.fr/item/JCA_2016_23_3_JCA_2016_23_3_a11/