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    • 2013 Dissertations (MU)
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    Counterexamples to Strichartz Type Inequalities

    Alhazaa, Khalifa
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    [PDF] research.pdf (219.2Kb)
    [PDF] short.pdf (18.11Kb)
    [PDF] public.pdf (5.596Kb)
    [PDF] declaration.pdf (688.8Kb)
    Date
    2013
    Format
    Thesis
    Metadata
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    Abstract
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The study of Strichartz s inequality is very important in the theory of nonlinear Shrodinger equations. The inequalities do not hold for all choice of constants. Many cases were settled. for instance, some cases were settled by Montegomery-Smith. In this paper we give a generalization to the usual Strichartz inequality using the Riesz potential. We then prove the inequality to hold in some cases and give counterexamples on other cases.
    URI
    https://hdl.handle.net/10355/46122
    https://doi.org/10.32469/10355/46122
    Degree
    Ph. D.
    Thesis Department
    Mathematics (MU)
    Rights
    Access is limited to the campus of the University of Missouri--Columbia.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
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    • 2013 MU dissertations - Access restricted to MU
    • Mathematics electronic theses and dissertations (MU)

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