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

Contact details are reproduced from the original publication and may be historical.

Lionel Thibault

Institut Montpelliérian A. Grothendick, Montpellier, France, France
and: Centro de Modelamiento Matematico, Universidad de Chile, Santiago, Chile

lionel.thibault@umontpellier.fr

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

Suggested citation

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

Copyright Heldermann Verlag 2023