Journal of Convex Analysis 09 (2002), No. 1, 159--184
Copyright Heldermann Verlag 2002
Generalized Variational Inequalities
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
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.
Keywords: Hysteresis, evolution variational inequality, Young integral, play operator.
MSC: 34C55; 26A45, 49J40
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