Journal of Applied Analysis 02 (1996), No. 2, 217--240
Copyright Heldermann Verlag 1996
Nonconvex Sweeping Process
Houcine Benabdellah
Dép. de Mathématiques, Faculté des Sciences, Université Cadi Ayyad, Semlalia, Marrakech, Morocco
Charles Castaing
Lab. d'Analyse Convexe, Université Montpellier II, Place E. Batallion, 34095 Montpellier, France
Anna Salvadori
Dip. di Matematica, Università di Perugia, 06123 Perugia, Italy
Aicha Syam
Dép. de Mathématiques, Faculté des Sciences, Université Cadi Ayyad, Semlalia, Marrakech, Morocco
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.
MSC: 35K22, 34A60, 34G20
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