Academic Report
Title: Quasi-periodic solutions for Schrodinger equations with a prescribed potential and higher order nonlinearity
Reporter: SHI Guanghua (Hunan Normal University)
Time: April 20, 2018(Friday) PM 16:00-17:00
Location: A#1101 room, Innovation Park Building
Contact: A.Prof. CONG Hongzi(tel: 84708351-8137)
Abstract: By means of KAM, it is proved that there exist a lot of quasi-periodic solutions for the following equations subjected to the Dirichlet condition, where is the given potential. Now the eigenfunctions is not the simple triangle functions, which making it difficult to extract parameters from nonlinearity. Besides, we show that the vector field induced by the nonlinear part is unbounded.
The brief introduction to the reporter: Shi Guanghua is the doctor of the institute of mathematics and statistics, Hunan Normal University. He graduated from the Department of mathematics of Lanzhou University in 2010 and obtained his Ph.D in Mathematics Department of Fudan University in 2015. He has followed professor Yuan Xiaoping to learn the KAM theory. In the autumn of 2015, he worked at the Hunan Normal University.
