Colloquium| Institute of Mathematical Sciences
Time:Friday, November 22th, 2024 , 14:30-15:30
Location:IMS, RS408
Speaker:Yi Zhou, Fudan University
Abstract:The aim of this talk is to introduce a new method for studying the low regularity well posedness for nonlinear wave and Schrodinger equations. we use a new div curl lemma of myself and Wang and myself to combine energy and monentum balance law to yield positive or useful quantities. we then obtain bilinear estimate to solve the nonlinear problem. Before our method, Bourgain space is almost the only method to deal with this kind of problems. We then apply our method to solve a number of nonlinear problem including the resolution of wei yue Ding 's conjecture for the periodic Schrodinger maps.