Seminar| Institute of Mathematical Sciences
Time: Tuesday, January 07th, 2025,13:30-14:30
Location: IMS, RS408
Speaker:Bo Xia, University of Science and Technology of China
Abstract：Higher order Schrodinger equations attract much attention in recent years. In the first part of the present talk, I will prove Strichartz estimates for the fourth-order Schrodinger operator over the circle based on a 'lattice counting' method over the cirve, and use it to solve the corresponding quintic equation over circle. In the second part, I will give some bound on the growth of Sobolev norms of this solution using the modified energy method.
Thank Prof. Haitian Yue for hosting the event and all are welcome to attend!