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arXiv · 2008.13623

Convex valued geodesics and applications to sweeping processes with bounded retraction

Vincenzo Recupero
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Abstract

In this paper we provide a formulation for sweeping processes with arbitrary locally bounded retraction, not necessarily left or right continuous. Moreover we provide a proof of the existence and uniqueness of solutions for this formulation which relies on the reduction to the $1$-Lipschitz continuous case by using a suitable family of geodesics for the asymmetric Hausdorff-like distance called "excess".

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Vincenzo Recupero. 2020-08-28. Convex valued geodesics and applications to sweeping processes with bounded retraction. https://arxiv.org/abs/2008.13623

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