Nikolaos S. Papageorgiou
On the properties of the solution set of nonconvex evolution inclusions of the subdifferential 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 inclusion, continuous selection, path connectedness, differential variational inequalities, nonlinear parabolic system
AMS Subject Classification: Primary 34G20; Secondary 35K55