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 Krejčí

Mathematical Institute, Academy of Sciences, Žitná 25, 11567 Praha 1, Czech Republic

krejci@math.cas.cz

Philippe Laurençot

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

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Suggested citation

P. Krejčí, P. Laurençot. “Generalized Variational Inequalities.” Journal of Convex Analysis 9 (2002), No. 1, 159–183. https://doi.org/10.68381/jca09008

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Published by Heldermann Verlag, 2002. Rights now held by Banach Press LLC.