×

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
PDFBibTeX XMLCite
Full Text: DOI EuDML