Bounded Non-response solutions with Liouvillean forced frequencies for nonlinear Schr\odinger equations on $\mathbb{T}$
Fuzheng Ma
School of Mathematics, Southeast University Peoples Rep of China
Co-Author(s): XinDong Xu
Abstract:
This paper is concerned with the existence and $C^{\infty}$ smoothness of bounded non-response solutions for forced nonlinear Schr\odinger equations on $\mathbb{T}$.
The proof is based on an infinite dimensional KAM Theorem with multiple Imaginary normal frequency.
