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Article

Papageorgiou, Nikolaos S.
On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 4, pp. 673-687
MSC: 34A60, 34G20, 35K55 | MR 1263796 | Zbl 0792.34014
Keywords:
subdifferential operator; function of compact type; evolution inclusion; continuous selection; path connectedness; differential variational inequalities; nonlinear parabolic system
Summary:
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.
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