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- W2896363275 abstract "In this paper, we study an implicit version of the sweeping process. Based on methods of convex analysis, we prove the equivalence of the implicit sweeping process with a differential equation, which enables us to show the existence and uniqueness of the solution to the implicit sweeping process in a very general framework. Moreover, this equivalence allows us to give a characterization of nonsmooth Lyapunov pairs and invariance for implicit sweeping processes. The results of the paper are illustrated with two applications to quasistatic evolution variational inequalities and electrical circuits." @default.
- W2896363275 created "2018-10-26" @default.
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- W2896363275 date "2019-04-01" @default.
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- W2896363275 title "A differential equation approach to implicit sweeping processes" @default.
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- W2896363275 doi "https://doi.org/10.1016/j.jde.2018.10.024" @default.
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