Viscous approximations of non-convex sweeping processes in the space of regulated functions

0576359 - MÚ 2024 RIV DE eng J - Článek v odborném periodiku
Krejčí, P. - Monteiro, Giselle Antunes - Recupero, V.
Viscous approximations of non-convex sweeping processes in the space of regulated functions.
Set-Valued and Variational Analysis. Roč. 31, č. 4 (2023), č. článku 34. ISSN 1877-0533. E-ISSN 1877-0541
Grant CEP: GA ČR(CZ) GA20-14736S
Institucionální podpora: RVO:67985840
Klíčová slova: evolution variational inequalities * prox-regular sets * regulated functions
Obor OECD: Pure mathematics
Impakt faktor: 1.6, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s11228-023-00695-y

Vanishing viscosity approximations are considered here for discontinuous sweeping processes with non-convex constraints. It is shown that they are well-posed for sufficiently small viscosity parameters, and that their solutions converge pointwise, as the viscosity parameter tends to zero, to the left-continuous solution to the sweeping process in the Kurzweil integral setting. The convergence is uniform if the input is continuous.
Trvalý link: https://hdl.handle.net/11104/0345929