Analysis and pde| STRICHARTZ ESTIMATES FOR 4TH ORDER SCHRODINGER OPERATOR AND QUINTIC 4TH ORDER SCHRODINGER EQUATION ON THE CIRCLE

Title: STRICHARTZ ESTIMATES FOR 4TH ORDER SCHRODINGER OPERATOR AND QUINTIC 4TH ORDER SCHRODINGER EQUATION ON THE CIRCLE 

Speaker: Xia Bo（中国科学技术大学）

Time:   2020-01-16， 9:15-10:15

Location:  200-9， Sir Shaw Run Run Business Administration building, School of Mathematical Sciences, Yuquan Campus

Abstract: We first establish Strichartz estimates for the 4th order Schrodinger operator on the circle, via a lattice counting argument. Next we apply these estimates to show that the quintic 4th order Schrodinger equation on the circle is global well-posed on any non-negative L2-based Sobolev space. We also achieve the polynomial growth of higher Sobolev norms of solutions just constructed. 

Contact Person:  WANG Meng, (mathdreamcn@zju.edu.cn)