Abstract

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.

Author information

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Keywords

  • Sweeping process
  • perturbation
  • prox-regular set
  • normal cone
  • relaxation
  • Skorohod problem
  • fractional derivative
  • fractional integral
  • rough signal
  • Young integral
  • Young measure
  • periodicity
  • asymptotic property

Mathematics Subject Classification

34A60, 49J52, 49J53

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Suggested citation

C. Castaing, L. Thibault. “Various Perturbations and Relaxations of the Sweeping Process.” Journal of Convex Analysis 30 (2023), No. 2, 659–742. https://doi.org/10.68381/jca30035

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Published by Heldermann Verlag, 2023. Rights now held by Banach Press LLC.