正则函数空间中的非凸扫掠过程
动力系统
2021-01-08 v3
摘要
本文旨在研究一类广泛的非凸扫掠过程，其移动约束的平移与形变由正则函数表示，即未必有界变差但在每点存在单侧极限的函数。假设时间依赖约束是一致prox-正则且具一致非空内部的，我们证明了解的存在唯一性，以及关于上确界范数的连续数据依赖性。
引用
@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}
}
备注
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