中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
报告人: Dr. Jiaqi Liu (University of Tornoto)
题 目:Rigorous analysis of completely integrable PDEs
时 间:2019.12.18(星期三), 10:30-11:30
地 点:数学院南楼N224室
摘 要:In this talk I will present some recent progress on the analysis of completely integrable PDEs. The modified KdV equation and the derivative nonlinear Schrodinger equation will be used as examples. The key ingredients of the analysis are the inverse scattering transform/nonlinear steepest descent method. I will also make comparison of the advantages and shortcomings of PDE techniques and inverse scattering transform and how can they benefit each other. Some open problems will also be discussed.