Geodesic
Various Perturbations and Relaxations of the Sweeping Process
Journal of convex analysis, Tome 30 (2023) no. 2, pp. 659-742
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The paper is concerned with diverse types of perturbations of dynamical sweeping processes along with their relaxation via Young measures. Skorohod-like problems with Volterra integro-differential perturbations are explored. Sweeping processes coupled with rough differential equations as well as with fractional differential equations are studied. Periodicity and asymptotic properties are also provided.
Classification : 34A60, 49J52, 49J53
Mots-clés : Sweeping process, perturbation, prox-regular set, normal cone, relaxation, Skorohod problem, fractional derivative, fractional integral, rough signal, Young integral, Young measure, periodicity, asymptotic property 
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     author = {C. Castaing and L. Thibault},
     title = {Various {Perturbations} and {Relaxations} of the {Sweeping} {Process}},
     journal = {Journal of convex analysis},
     pages = {659--742},
     year = {2023},
     volume = {30},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2023_30_2_JCA_2023_30_2_a12/}
}
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C. Castaing; L. Thibault. Various Perturbations and Relaxations of the Sweeping Process. Journal of convex analysis, Tome 30 (2023) no. 2, pp. 659-742. http://geodesic.mathdoc.fr/item/JCA_2023_30_2_JCA_2023_30_2_a12/