Abstract

The paper deals with sweeping process measure differential inclusions with data sets subject to the condition of bounded retraction along bounded truncation. Various basic properties are provided, and the existence and uniqueness of solution are established under the convexity of the data sets.

Author information

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

Lionel Thibault

Laboratoire d'Analyse Convexe, Dept. de Mathématique, Case 051, Université Montpellier II, Place E. Bataillon, 34095 Montpellier, France

lionel.thibault@univ-montp2.fr

Keywords

  • Sweeping process
  • differential inclusion
  • bounded retraction along truncation
  • mapping of bounded variation
  • Radon measure
  • catching-up algorithm
  • normal cone
  • subdifferential

Mathematics Subject Classification

34A60, 49J52; 49J24, 49J53

Suggested citation

L. Thibault. “Moreau Sweeping Process with Bounded Truncated Retraction.” Journal of Convex Analysis 23 (2016), No. 4, 1051–1098.

Copyright Heldermann Verlag 2016