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

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