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On the local existence of solutions to a class of nonconvex evolution inclusions

โœ Scribed by Aurelian Cernea


Publisher
Springer Milan
Year
2002
Tongue
Italian
Weight
137 KB
Volume
51
Category
Article
ISSN
0009-725X

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๐Ÿ“œ SIMILAR VOLUMES


Existence of Solutions to the Nonconvex
โœ Houcine Benabdellah ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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