Spherical Averaged Endpoint Strichartz Estimates for The Two-dimensional Schrodinger Equations with Inverse Square Potential

摘要

The endpoint Strichartz estimates for two-dimensional Schrodinger equationswere recovered by averaging the solutions in L^2 in the angular variable byTao. For Schrodinger equations with defocusing inverse square potential, weproved that the homogeneous endpoint estimates hold under this setting. Inparticular, the original versions of endpoint estimates hold for radial data.