an:01779289
Zbl 1001.49014
Krej????, Pavel; Lauren??ot, Philippe
Generalized variational inequalities
EN
J. Convex Anal. 9, No. 1, 159-183 (2002).
00085471
2002
j
49J40 34C55 49K40 26A45
hysteresis; play operator; evolution variational inequality; Young integral; essentially bounded variation; regulated functions
Summary: 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 \(Z\).