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arXiv · 2212.08727

Continuity of the non-convex play operator in the space of rectifiable curves

Jana Kopfova·Vincenzo Recupero
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Abstract

In this paper we prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV-norm and to the BV-strict metric in the space of continuous functions of bounded variation. We do not assume any further regularity of the characteristic set. We also prove that the non-convex play operator is rate independent.

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Jana Kopfova, Vincenzo Recupero. 2022-12-16. Continuity of the non-convex play operator in the space of rectifiable curves. https://arxiv.org/abs/2212.08727

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