Krejčí, Pavel; Laurençot, Philippe Generalized variational inequalities. (English) Zbl 1001.49014 J. Convex Anal. 9, No. 1, 159-183 (2002). 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 \(Z\). Cited in 13 Documents MSC: 49J40 Variational inequalities 34C55 Hysteresis for ordinary differential equations 49K40 Sensitivity, stability, well-posedness 26A45 Functions of bounded variation, generalizations Keywords:hysteresis; play operator; evolution variational inequality; Young integral; essentially bounded variation; regulated functions PDF BibTeX XML Cite \textit{P. Krejčí} and \textit{P. Laurençot}, J. Convex Anal. 9, No. 1, 159--183 (2002; Zbl 1001.49014)