## $$BV$$ solutions of rate independent variational inequalities.(English)Zbl 1229.49012

Summary: We prove a theorem providing a geometric characterization of $$BV$$ continuous vector rate independent operators. We apply this theorem to rate independent evolution variational inequalities and deduce new continuity properties of their solution operator: the vectorial play operator.

### MSC:

 49J40 Variational inequalities 47J35 Nonlinear evolution equations 74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) 34C55 Hysteresis for ordinary differential equations 26A45 Functions of bounded variation, generalizations
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