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On the properties of the solution set of nonconvex evolution inclusions of the subdierential type

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Nikolaos S. Papageorgiou

On the properties of the solution set of nonconvex evolution inclusions of the subdierential type

Comment.Math.Univ.Carolinae 34,4 (1993) 673-687.

Abstract: In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.

Keywords: subdifferential operator, function of compact type, evolution inclu- sion, continuous selection, path connectedness, differential variational inequalities, nonlinear parabolic system

AMS Subject Classification: Primary 34G20; Secondary 35K55

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