In this paper, we state, in separable Hilbert spaces, the existence of absolutely continuous solutions for a couple of evolution problems governed by time and state dependent maximal monotone operator and closed convex sweeping process, with perturbations.
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Benguessoum, M., Azzam-Laouir, D. & Castaing, C. On a Time and State Dependent Maximal Monotone Operator Coupled with a Sweeping Process with Perturbations. Set-Valued Var. Anal 29, 191–219 (2021). https://doi.org/10.1007/s11228-020-00544-2
- Absolutely continuous
- Maximal monotone operator
- Sweeping process
Mathematics Subject Classification 2010