A CLASS OF NONLINEAR EVOLUTION EQUATIONS GOVERNED BY TIME-DEPENDENT OPERATORS OF SUBDIFFERENTIAL TYPE Dedicated to Professor N. Kenmochi on the Occasion of His 60 Birthday
نویسنده
چکیده
Recently there are so many mathematical models which describe nonlinear phenomena. In some phenomena, the free energy functional is not convex. So, the existence-uniqueness question is sometimes difficult. In order to study such phenomena, let us introduce the new class of abstract nonlinear evolution equations governed by timedependent operators of subdifferential type. In this paper we shall show the existence and uniqueness of solution to nonlinear evolution equations with time-dependent constraints in a real Hilbert space. Moreover we apply our abstract results to a parabolic variational inequality with time-dependent double obstacles constraints. AMS Subject Classification 34A60, 35K55, 35K90, 47J35:
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