Spherical Averaged Endpoint Strichartz Estimates for the Two-dimensional Schrodinger Equations with Inverse Square Potential
Grillakis, Manoussos G
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In this dissertation, I investigate the two-dimensional Schrodinger equation with repulsive inverse square potential. I prove a version of the homogeneous endpoint Strichartz estimate, in which I replace the supremum norm on space by a norm that takes $L^2$ average in angular variable first and then supremum norm on radial variable.