Projection process with definable right-hand side
Optimization and Control
2017-11-10 v1
Abstract
We study the relation between sweeping processes with the cone of limiting normals and projection processes. We prove the existence of solution of a perturbed sweeping process with the cone of limiting normals and of nonstationary projection process, provided the sets involved are definable (and are moving in a definable way) in some o-minimal structure. An application to a crowd motion model is presented.
Keywords
Cite
@article{arxiv.1711.03315,
title = {Projection process with definable right-hand side},
author = {Mira Bivas and Nadezhda Ribarska},
journal= {arXiv preprint arXiv:1711.03315},
year = {2017}
}