An introduction to KAM and Normal form methods for PDEs

28 Feb 2022, 11:00 → 8 Mar 2022, 17:00 Europe/Rome

Ex-ISEF/Building-Room D (GSSI)

In this course I will present an introduction to KAM and Normal form methods for PDEs. The key tools that I shall present are

1) the theory of pseudo-differential operators

2) the reducibility schemes

3) the Nash-Moser theory.

I will present several problems and applications like energy transfer for time dependent Schrödinger equations (growth of Sobolev norms) and (time permitting) construction of quasi-periodic solutions for equations arising from fluid dynamics. 

 

Please see the course schedule at

https://www.gssi.it/education/mathematics-education/academic-calendar-maths-education