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

dc.contributor.advisorGrillakis, Manoussos Gen_US
dc.contributor.authorChen, I-Kunen_US
dc.date.accessioned2009-10-06T05:39:44Z
dc.date.available2009-10-06T05:39:44Z
dc.date.issued2009en_US
dc.identifier.urihttp://hdl.handle.net/1903/9473
dc.description.abstractIn 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.en_US
dc.format.extent266044 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.titleSpherical Averaged Endpoint Strichartz Estimates for the Two-dimensional Schrodinger Equations with Inverse Square Potentialen_US
dc.typeDissertationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentMathematicsen_US
dc.subject.pqcontrolledMathematicsen_US
dc.subject.pquncontrolleddispersiveen_US
dc.subject.pquncontrolledendpointen_US
dc.subject.pquncontrolledinverse square potentialen_US
dc.subject.pquncontrolledPartial Differential Equationsen_US
dc.subject.pquncontrolledSchrodingeren_US
dc.subject.pquncontrolledStrichartz Estimateen_US


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