Quasi-peridoic solutions for Schrödinger equation with finite smooth quasi-periodic forcing

The KAM method is a useful way to prove the existence of quasi-periodic solutions for some PDEs. In this talk, we will discuss the Schrödinger equation with quasi-periodic forcing. When the forcing term is analytic, this problem is widely investigated. However, there are few results about the finite smooth case. We prove the existence of quasi-peridoic solutions for Schrödinger equation with finite smooth quasi-periodic forcing.