Existence of sweeping process in Banach spaces under directional prox-regularity
Classical Analysis and ODEs
2009-03-09 v3 Functional Analysis
Abstract
This paper is devoted to weaken "classical" assumptions and give new arguments to prove existence of sweeping process (associated to the proximal normal cone of sets). Mainly we define the concept of a "directional prox-regularity" and give assumptions about a Banach space to insure the existence of such sweeping process (which permit to generalize the existing results requiring a Hilbertian structure).
Keywords
Cite
@article{arxiv.0812.4673,
title = {Existence of sweeping process in Banach spaces under directional prox-regularity},
author = {Frederic Bernicot and Juliette Venel},
journal= {arXiv preprint arXiv:0812.4673},
year = {2009}
}
Comments
33 pages