Geodesic
Existence of Solutions for Sweeping Processes with Local Conditions
Journal of convex analysis, Tome 27 (2020) no. 3, pp. 833-844
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Sweeping processes, introduced by J. J. Moreau, have been studied significantly in recent years due to their interesting applications in practice. However, most of the researches use the global Hausdorff distance to describe the movement of the moving set, which is probably not satisfied for unbounded cases. In this paper, we study the existence of solutions for sweeping processes by using only local excess condition. The result obtained can be applied to analyze a class of time-varying evolution variational inequalities.
Classification : 47H05, 46N10, 47H04
Mots-clés : Existence of solutions, sweeping processes, local excess condition, time-varying evolution variational inequalities 
@article{JCA_2020_27_3_JCA_2020_27_3_a2,
     author = {B. K. Le},
     title = {Existence of {Solutions} for {Sweeping} {Processes} with {Local} {Conditions}},
     journal = {Journal of convex analysis},
     pages = {833--844},
     year = {2020},
     volume = {27},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a2/}
}
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B. K. Le. Existence of Solutions for Sweeping Processes with Local Conditions. Journal of convex analysis, Tome 27 (2020) no. 3, pp. 833-844. http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a2/