2 papers
math.AP2024
Strichartz estimates for the Schrödinger equation on compact manifolds with nonpositive sectional curvature
Xiaoqi Huang, Christopher D. Sogge
We obtain improved Strichartz estimates for solutions of the Schrödinger equation on compact manifolds with nonpositive sectional curvatures which are related to the classical univ…
math.AP2024
Quasimode concentration on compact space forms
Xiaoqi Huang, Christopher D. Sogge
We show that the upper bounds for the -norms of -normalized quasimodes that we obtained in [9] are always sharp on any compact space form. This allows us to characterize…