拟于2022年5月8号上午举办无穷维KAM理论系列报告会。本次报告采用线上腾讯会议方式，欢迎各位老师同学参加。

腾讯会议号：359-157-104

报告安排

报告题目：Quasi-periodic in time solutions of nonlinear random Schrodinger operators

报告简介：We proved the existence of quasi-periodic in time solutions of nonlinear random Schrodinger operators, thereby establishing a KAM-type persistence result for a non-integrable system. This is a joint work with Wei-min Wang.

报告题目：Quasi-periodic Solutions for the Derivative Nonlinear Schrodinger Equations with Legendre Potential

报告简介：In this paper, the nonlinear Schrodinger equations with Legendre potential

iu_t − u_xx + V(x)u + i|u|^2u_x = 0,

subject to certain boundary conditions is considered,where V(x) = −1/2 − 1/4 tan^2 x.It is proved that the above equation admits lots of quasi-periodic solutions with two frequencies. The proof is based on a partial Birkhoffff normal form technique and an infifinite-dimensional Kolmogorov-Arnold-Moser theory.

报告题目：Quasi-periodic solutions for a Schrodinger equation under periodic boundary conditions with given potential

报告简介：This paper is concerned with the cubic nonlinear Schrodinger equation

iu_t-u_{xx}+V(x)u+|u|^2u=0,

subject to periodic boundary conditions, where the potential V(x) is real analytic in  |Im x|<r. It is proved that there exist many quasi-periodic solutions of the nonlinear Schrodinger equation with given potential V(x) by a infinite dimensional KAM theorem dealing with multiple eigenvalues.

主办单位：扬州大学数学科学学院、扬州大学科技处

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