讲座内容简介：

In this talk, an infinite dimensional KAM theorem with double normal frequencies is established under qualitative non-degenerate conditions. This is an extension of the degenerate KAM theorem with simple normal frequencies by Bambusi, Berti and Magistrelli. As applications, for nonlinear wave equation and nonlinear Schrodinger equation with periodic boundary conditions, quasi-periodic solutions of small amplitude and quasi-periodic solutions around plane wave are obtained respectively.

讲座人简介：

高美娜，上海第二工业大学教授，2011年博士毕业于复旦大学。主要从事无穷维动力系统KAM理论的研究，在哈密顿偏微分方程的KAM定理及拟周期解的存在性方面做出了一些工作。在JDE、JDDE、DCDS-A、JMAA等期刊上发表多篇学术论文。主持多项国家自然科学基金。