Abstract

The paper studies local existence and uniqueness of absolutely continuous solutions of a differential variational inequality involving a locally prox-regular set of an infinite dimensional Hilbert space. The study requires a quantified concept of local prox-regularity termed as (r,α)-prox-regularity.

Author information

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

Lionel Thibault

Université Montpellier 2, Dép. de Mathématiques CC 051, Place Eugène Bataillon, 34095 Montpellier, France

thibault@math.univ-montp2.fr

Keywords

  • Differential inclusions
  • differential variational inequalities
  • proximal normal cone
  • locally prox-regular set
  • (r
  • alpha)-prox-regular set
  • hypomonotonicity
  • sweeping process
  • perturbation

Mathematics Subject Classification

34A60, 49J52; 49J20, 58E35

Suggested citation

M. Mazade, L. Thibault. “Differential Variational Inequalities with Locally Prox-Regular Sets.” Journal of Convex Analysis 19 (2012), No. 4, 1109–1139.

Copyright Banach Press 2012