Strichartz estimates for the wave equation on Riemannian manifolds of bounded curvature

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dc.contributor.advisorSmith, Hart
dc.contributor.authorChen, Yuanlong
dc.date.accessioned2017-10-26T20:51:44Z
dc.date.available2017-10-26T20:51:44Z
dc.date.issued2017-10-26
dc.date.submitted2017-07
dc.descriptionThesis (Ph.D.)--University of Washington, 2017-07
dc.description.abstractWave packet methods have proven to be a useful tool for the study of dispersive effects of the wave equation with coefficients of limited differentiability. In this thesis, we use scaled wave packet methods to prove Strichartz estimates on compact Riemannian manifolds under the condition that the Riemannian curvature tensor is uniformly bounded. This improves upon prior results for the case of metrics with two bounded derivatives.
dc.embargo.termsOpen Access
dc.format.mimetypeapplication/pdf
dc.identifier.otherChen_washington_0250E_17747.pdf
dc.identifier.urihttp://hdl.handle.net/1773/40635
dc.language.isoen_US
dc.rightsnone
dc.subjectLow regularity metrics
dc.subjectRiemannian manifolds
dc.subjectStrichartz estimates
dc.subjectWave equations
dc.subjectMathematics
dc.subject.otherMathematics
dc.titleStrichartz estimates for the wave equation on Riemannian manifolds of bounded curvature
dc.typeThesis

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