Document Zbl 0711.34076

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On evolution inclusions associated with time dependent convex subdifferentials. (English) Zbl 0711.34076

Commentat. Math. Univ. Carol. 31, No. 3, 517-527 (1990).

Summary: We study evolution inclusions driven by a time varying convex subdifferential and a multivalued perturbation. We have two existence theorems; one for nonconvex valued perturbations and the other for convex valued perturbations. Then we compare those two solution sets (“relaxation theorem”). Our results extend earlier ones by Attouch- Damlamian, Aubin-Cellina, Moreau, Watanabe and Yotsutani.

Cited in 7 Documents

MSC:

34G20	Nonlinear differential equations in abstract spaces
47H20	Semigroups of nonlinear operators

Keywords:

maximal monotone operator; evolution inclusions; convex subdifferential; multivalued perturbation; relaxation theorem

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