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Microscopic conservation laws for the derivative nonlinear Schr\{o}dinger equation

2020-12-21

Speaker: Prof. XU Guixiang, School of Mathematics, Beijing Normal University

Tecent Meeting ID: 256 282 696 https://meeting.tencent.com/s/lAOuQZhWbYE0

Venue: Room 314, Ouyang Building, Yuquan Campus

Abstract:

Using the perturbation determinant introduced by B. Simon, we show the microscopic conservation laws for the Schwartz solutions of the derivative nonlinear Schrodinger equation (DNLS) with small mass, which can be used to show local smoothing estimate and global well-posedness of DNLS in the lower regularity space. It is a joint work with Xingdong Tang.