Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Differential inclusions
  • subdifferentials
  • primal lower nice functions

Mathematics Subject Classification

49A52, 49J53, 34A60, 34G25, 34G20

Suggested citation

S. Marcellin, L. Thibault. “Evolution Problems Associated with Primal Lower Nice Functions.” Journal of Convex Analysis 13 (2006), No. 2, 385–421.

Copyright Heldermann Verlag 2006