Invariant objects of infinite dimensional systems

Abstract: To find invariant objects with specified dynamics (e.g. periodic, quasi-periodic, etc.), we consider the space of functions in the corresponding class and impose that they are solutions. This leads to solving functional equations. One advantage of this method is that it does not need to study the evolution, which in some infinite dimensional problems is problematic. We will present some examples of solutions of special kinds in state dependent delay equations, for which even the natural phase space is debatable.

analysis of PDEsclassical analysis and ODEsfluid dynamics

Audience: researchers in the topic

Online Northeast PDE and Analysis Seminar