Non-convex sweeping processes in the space of regulated functions

0559099 - MÚ 2023 RIV US eng J - Článek v odborném periodiku
Krejčí, P. - Monteiro, Giselle Antunes - Recupero, V.
Non-convex sweeping processes in the space of regulated functions.
Communications on Pure and Applied Analysis. Roč. 21, č. 9 (2022), s. 2999-3029. ISSN 1534-0392. E-ISSN 1553-5258
Grant CEP: GA ČR(CZ) GA20-14736S
Institucionální podpora: RVO:67985840
Klíčová slova: evolution variational inequalities * sweeping processes * regulated functions
Obor OECD: Pure mathematics
Impakt faktor: 1, rok: 2022
Způsob publikování: Open access
http://dx.doi.org/10.3934/cpaa.2022087

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.
Trvalý link: https://hdl.handle.net/11104/0332518