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

Abstract

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

17 pages Joint meeting Washington DC 2009

References in corpus (4)

• Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations
• Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation
• Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential
• Asymptotic stability of harmonic maps under the Schrödinger flow