Abstract

We consider a rate independent evolution variational inequality with an arbitrary convex closed constraint Z in a Hilbert space X. The main results consist in proving that it is well-posed in the Young integral setting in the space of functions of essentially bounded variation for every Z and in the space of regulated functions provided 0 lies in the interior of Z.

Author information

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

Pavel Krejcí

Mathematical Institute, Academy of Sciences, Zitná 25, 11567 Praha 1, Czeck Republic

krejci@math.cas.cz

Philippe Laurencot

Mathématiques pour l'Industrie et la Physique, UMR CNRS 5640, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France

laurencot@mip.ups-tlse.fr

Keywords

  • Hysteresis
  • evolution variational inequality
  • Young integral
  • play operator

Mathematics Subject Classification

34C55; 26A45, 49J40

Suggested citation

P. Krejcí, P. Laurencot. “Generalized Variational Inequalities.” Journal of Convex Analysis 9 (2002), No. 1, 159–184.

Copyright Heldermann Verlag 2002