论文标题
在受监管函数空间中的非凸扫过程
Non-convex sweeping processes in the space of regulated functions
论文作者
论文摘要
本文的目的是研究具有移动约束的广泛的非凸扫过程，其翻译和变形由调节函数表示，即不一定是有界变异的功能，在每个点都承认单方面限制。假设时间依赖性的约束是统一的替代性的，并且具有统一的非空内部装置，我们证明了解决方案的存在和独特性，以及相对于SUP-NORM的连续数据依赖性。
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.
