# zbMATH — the first resource for mathematics

Generalized variational inequalities. (English) Zbl 1001.49014
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 $$Z$$.

##### MSC:
 49J40 Variational inequalities 34C55 Hysteresis for ordinary differential equations 49K40 Sensitivity, stability, well-posedness 26A45 Functions of bounded variation, generalizations