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• W2744054635 abstract "In this paper we present a new method to solve differential inclusions in Hilbert spaces. This method is a Galerkin-like method where we approach the original problem by projecting the state into a $n$-dimensional Hilbert space but not the velocity. We prove that the approached problem always has a solution and that, under some compactness conditions, the approached problems have a subsequence which converges strongly pointwisely to a solution of the original differential inclusion. We apply this method to the generalized perturbed sweeping process governed by nonregular sets (equi-uniformly subsmooth or positively $alpha$-far). This differential inclusion includes Moreau's sweeping process, the state-dependent sweeping process, and second-order sweeping process for which we give very general existence results." @default.
• W2744054635 created "2017-08-17" @default.
• W2744054635 creator A5003500683 @default.
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• W2744054635 date "2017-01-01" @default.
• W2744054635 modified "2023-10-16" @default.
• W2744054635 title "Galerkin-like Method and Generalized Perturbed Sweeping Process with Nonregular Sets" @default.
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• W2744054635 doi "https://doi.org/10.1137/16m1078288" @default.
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