Existence and asymptotic stability of quasi-periodic solution of discrete NLS

開催日時
2014/11/28 金 15:30 - 17:30
場所
3号館251号室
講演者
前田 昌也
講演者所属
千葉大学大学院理学研究科
概要

We consider a discrete nonlinear Schr\"odinger equation with
potential on $\mathbb{Z}$
and assume the Schr\"odinger operator has exactly two eigenvalues.
We show there exists a small quasi-periodic solution and further prove that
all small solution decomposes into this quasi-periodic solution and scattering waves.