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.

Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions / Krejci, P.; Monteiro, G. A.; Recupero, V.. - In: SET-VALUED AND VARIATIONAL ANALYSIS. - ISSN 1877-0541. - ELETTRONICO. - 31:4(2023), pp. 1-38. [10.1007/s11228-023-00695-y]

Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions

Krejci P.;Recupero V.
2023

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2982545