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