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.