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Lipschitz approximation of the sweeping (or Moreau) process

✍ Scribed by Michel Valadier

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
787 KB
Volume
88
Category
Article
ISSN
0022-0396

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πŸ“œ SIMILAR VOLUMES

Yosida–Moreau Regularization of Sweeping
Yosida–Moreau Regularization of Sweeping Processes with Unbounded Variation
✍ M. Kunze; M.D.P. Monteiro Marques πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 584 KB

Let t [ C(t) be a Hausdorff-continuous multifunction with closed convex values in a Hilbert space H such that C(t) has nonempty interior for all t. We show that the Yosida Moreau regularizations of the sweeping process with moving set C(t), i.e., the solutions of a.e. on [0, T ], u \* (0)=! 0 , are

Existence of Solutions to the Nonconvex
Existence of Solutions to the Nonconvex Sweeping Process
✍ Houcine Benabdellah πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 133 KB

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