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

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.

Cite this paper

@inproceedings{Papageorgiou2010OnTP, title={On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type}, author={Nikolaos S. Papageorgiou}, year={2010} }