$\mathbf{BV}$ solutions of rate independent variational inequalities

Recupero, Vincenzo

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 2, pp. 269-315

We prove a theorem providing a geometric characterization of $\mathbf{BV}$ 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.

Classification : 49J40, 47J35, 74C15, 34C55, 26A45

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