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arXiv · 2005.08615

Non-convex sweeping processes in the space of regulated functions

Pavel Krejci·Giselle Antunes Monteiro·Vincenzo Recupero
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Abstract

The aim of this paper is to study a wide class of non-convex sweeping processes with moving constraint whose translation and deformation are represented by regulated functions, i.e., functions of not necessarily bounded variation admitting one-sided limits at every point. Assuming that the time-dependent constraint is uniformly prox-regular and has uniformly non-empty interior, we prove existence and uniqueness of solutions, as well as continuous data dependence with respect to the sup-norm.

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Pavel Krejci, Giselle Antunes Monteiro, Vincenzo Recupero. 2020-05-18. Non-convex sweeping processes in the space of regulated functions. https://arxiv.org/abs/2005.08615

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