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Viscous approximations of non-convex sweeping processes in the space of regulated functions
- 1.0576359 - MÚ 2024 RIV DE eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA20-14736S
Institutional support: RVO:67985840
Keywords : evolution variational inequalities * prox-regular sets * regulated functions
OECD category: Pure mathematics
Impact factor: 1.6, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0345929
File Download Size Commentary Version Access Monteiro2.pdf 0 1.3 MB Publisher’s postprint require
Number of the records: 1