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

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    No. of downloads: 594

    Date
    2009
    Author
    Chen, I-Kun
    Advisor
    Grillakis, Manoussos G
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    Abstract
    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.
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    http://hdl.handle.net/1903/9473
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    • Mathematics Theses and Dissertations
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