【学术报告】Microscopic conservation laws for the derivative nonlinear Schrodinger equation

• 主讲人：Guixiang Xu (Beijing Normal University)
• 时间：2021.11.18 21:00-22:00 Beijing time (16:00-17:00 St Petersburg time)
• 地点：online

Abstract: Using the perturbation determinant introduced by B. Simon, we show the microscopic conservation laws for the Schwarz solutions of the derivative nonlinear Schrodinger equation (DNLS) with small mass, which can be used to show uniformly boundedness and local smoothing estimate of DNLS in the lower regularity space. This is joint work with Xingdong Tang. Lastly, we will show some progresses about DNLS. 

Bio: Guixiang Xu got Ph. D from the Institute of Applied Physics and Computational Mathematics in China in 2006, and now is a full professor at the School of Mathematical Sciences of Beijing Normal University. His research fields are harmonic analysis and partial differential equations, in particular, global well-posedness and scattering theory, stability theory and blow-up dynamics of nonlinear dispersive equations.