# 2016-01-26 Nonlinear Seminar

Piotr Maćkowiak
Continuity of the non-autonomous superposition operator and around

We shall present an example of a function which is lipschitzian and such that the (non-autonomous) superposition operator it generates is not continuous (as a mapping from to ). We shall show necessary and sufficient conditions for a non-autonomous superposition operator to be continuous (in ). We shall also prove some results for -class generators.