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

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

2008-11-22

arxiv.org/abs/0811.3686v1

Mathematics

Analysis of PDEs

17 pages Joint meeting Washington DC 2009

Scientific paper

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.

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