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Existence of Solutions to the Nonconvex Sweeping Process

โœ Scribed by Houcine Benabdellah


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
133 KB
Volume
164
Category
Article
ISSN
0022-0396

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โœฆ Synopsis


In this note, we prove the existence of solutions for the sweeping process problem x$(t) # &N C(t) (x(t)) a.e., x(t) # C(t), x(0)=x 0 # C(0), where C(.) is an arbitrary Hausdorff Lipschitzean multifunction, from I=[0, T] onto the set of nonempty closed subsets of R d . This generalizes a well known result of J. J. Moreau, (1971, in ``Sem. d'Analyse Convexe, Montpelier,'' Exp. 15) in the convex case. 2000


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