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Nonconvex sweeping process. (English) Zbl 0873.34050
Authors’ summary: We discuss the existence of bounded variation and Lipschitzean solutions for the sweeping process associated to a nonconvex closed moving set and its applications to a new class of evolution problem governed by a subdifferential of a Lipschitz function. Convex and nonconvex perturbations of the preceding evolution problem are also studied.

MSC:
34G20 Nonlinear differential equations in abstract spaces
34A60 Ordinary differential inclusions
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