Journal of Applied Analysis
Vol. 2, No. 2, pp. 217-240 (1996)
Nonconvex sweeping process
H. Benabdellah, C. Castaing, A. Salvadori and A. Syam
Abstract: We discuss the existence of BV 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 Lipschitzean function. Convex and nonconvex perturbations of the preceding evolution problem are also studied.
Keywords: Sweeping process, bounded variation, Lipschitzean mapping,subdifferential, normal cone
Classification (MSC2000): 35K22, 34A60, 34G20
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