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

dc.contributor.advisor	Grillakis, Manoussos G	en_US
dc.contributor.author	Chen, I-Kun	en_US
dc.contributor.department	Mathematics	en_US
dc.contributor.publisher	Digital Repository at the University of Maryland	en_US
dc.contributor.publisher	University of Maryland (College Park, Md.)	en_US
dc.date.accessioned	2009-10-06T05:39:44Z
dc.date.available	2009-10-06T05:39:44Z
dc.date.issued	2009	en_US
dc.description.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.	en_US
dc.format.extent	266044 bytes
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/1903/9473
dc.language.iso	en_US
dc.subject.pqcontrolled	Mathematics	en_US
dc.subject.pquncontrolled	dispersive	en_US
dc.subject.pquncontrolled	endpoint	en_US
dc.subject.pquncontrolled	inverse square potential	en_US
dc.subject.pquncontrolled	Partial Differential Equations	en_US
dc.subject.pquncontrolled	Schrodinger	en_US
dc.subject.pquncontrolled	Strichartz Estimate	en_US
dc.title	Spherical Averaged Endpoint Strichartz Estimates for the Two-dimensional Schrodinger Equations with Inverse Square Potential	en_US
dc.type	Dissertation	en_US

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