Convex valued geodesics and applications to sweeping processes with bounded retraction
Dynamical Systems
2020-09-01 v1
Abstract
In this paper we provide a formulation for sweeping processes with arbitrary locally bounded retraction, not necessarily left or right continuous. Moreover we provide a proof of the existence and uniqueness of solutions for this formulation which relies on the reduction to the -Lipschitz continuous case by using a suitable family of geodesics for the asymmetric Hausdorff-like distance called "excess".
Cite
@article{arxiv.2008.13623,
title = {Convex valued geodesics and applications to sweeping processes with bounded retraction},
author = {Vincenzo Recupero},
journal= {arXiv preprint arXiv:2008.13623},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:2005.08966, arXiv:1707.09765