Evolution governed by certain set-valued mappings

Abstract

Each of the above presented techniques bears a generalization for the case of setvalued mappings. Now, as in Chapter 5, without narrowing substantially possible applications, we will restrict ourselves to the monotonicity method for an initialvalue problem for the quite special type of inclusions: 10.1 (Formula Presented) with (Formula Presented) a convex potential and A: I × V → V* a Carathéodory mapping such that A.