Journal of Convex Analysis 13 (2006), No. 2, 385--421
Copyright Heldermann Verlag 2006
Evolution Problems Associated with Primal Lower Nice Functions
Sylvie Marcellin
Dép. de Mathématiques, Université Montpellier II, CC 051, Place E. Bataillon, 34095 Montpellier, France
marcelin@math.univ-montp2.fr
Lionel Thibault
Dép. de Mathématiques, Université Montpellier II, CC 051, Place E. Bataillon, 34095 Montpellier, France
thibault@math.univ-montp2.fr
This paper studies both local and global existence as well as uniqueness of absolutely continuous solutions of some differential inclusions involving subdifferentials of nonconvex functions. The framework is the one of primal lower nice functions in Hilbert spaces. The asymptotic behavior of the related trajectories is also addressed.
Keywords: Differential inclusions, subdifferentials, primal lower nice functions.
MSC: 49A52, 49J53, 34A60, 34G25, 34G20
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