分析和PDE讨论班——Non-existence of solutions to the 1D cubic periodic Schrodinger equation below L2
主 题: 分析和PDE讨论班——Non-existence of solutions to the 1D cubic periodic Schrodinger equation below L2
报告人: 郭紫华 (Monash University)
时 间: 2017-10-31 10:30-11:30
地 点: 理科1号楼1303
Abstract: 1D cubic Schrodinger equation is one of the simplest nonlinear equations that is completely integrable. There are many studies on this equation. I will focus on the low regularity problems. We proved the strongest version of ill-posedness: for any non-zero data not in L2, there is no "reasonable" weak solution. Reasonable weak solution means it can be approximated by classical solutions.
