EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 2, No. 2, pp. 217-240 (1996)

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Nonconvex sweeping process

H. Benabdellah, C. Castaing, A. Salvadori and A. Syam

Houcine Benabdellah
Département de
Mathématiques
Université Cadi Ayyad
Faculté des Sciences
Semlalia
Bd du Prince Moulay Abdellah
BP S15, Marrakech 		Charles Castaing
Département de
Mathématiques
case 051
Université Montpellier II
F-34095
Montpellier cedex 5
France
Maroc
Anna Salvadori
Dipartimento di
Matematica
Università di Perugia
06123 Perugia
via Vanvitelli 1
Perugia, Italy 		Aicha Syam
Département de
Mathématiques
Université Cadi Ayyad
Faculté des Sciences
et Techniques
Marrakech, Maroc

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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Electronic fulltext finalized on: 29 May 2002. This page was last modified: 21 Dec 2002.

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