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A first-order evolution problem with maximal monotone operators
Published:
28 April 2023
by MDPI
in The 1st International Online Conference on Mathematics and Applications
session Difference and Differential Equations
https://doi.org/10.3390/IOCMA2023-14426
(registering DOI)
Abstract:
In Hilbert spaces, we are interested in proving the existence of bounded variation continuous solutions to a first-order evolution problem involving time and state dependent maximal monotone operators with perturbations.
This new result is established, under a compactness assumption on the domain of the operators. As an example, we provide the corresponding existence result for the perturbed sweeping process.
Keywords: evolution problem, maximal monotone operator, bounded variation continuous, sweeping process.
