Non-convex sweeping processes in the space of regulated functions

2020/05/18 by Pavel Krejčı́, Krejci, Pavel, Giselle Antunes Monteiro +3 · 1 citation
Computer Science · Mathematics · #34A60 #34G25 #47J20 #49J52 #74C05 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Variational Analysis #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2005.08615

openalex publication_date 2020/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Excess-continuous prox-regular sweeping processes

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