Non-convex sweeping processes in the space of regulated functions
Dynamical Systems
2021-01-08 v3
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.
Keywords
Cite
@article{arxiv.2005.08615,
title = {Non-convex sweeping processes in the space of regulated functions},
author = {Pavel Krejci and Giselle Antunes Monteiro and Vincenzo Recupero},
journal= {arXiv preprint arXiv:2005.08615},
year = {2021}
}
Comments
Lemma 3.1, Proposition 3.2 and Theorem 4.2 have been improved; the final part of the proof of Theorem 4.2 has been expanded. Some typos are now corrected