Strichartz estimates for wave equations with coefficients of Sobolev regularity

dc.contributor.authorBlair, Matthew Den_US
dc.date.accessioned2009-10-05T23:57:47Z
dc.date.available2009-10-05T23:57:47Z
dc.date.issued2005en_US
dc.descriptionThesis (Ph. D.)--University of Washington, 2005.en_US
dc.description.abstractWave packet techniques provide an effective method for proving Strichartz estimates on solutions to wave equations whose coefficients are not smooth. In this work, such methods are used to show Strichartz inequalities for wave equations with coefficients lying in an Lr Sobolev space of order strictly greater than n-1r + 2, n denoting the dimension of the spatial variables. In addition, a weaker family of weighted Strichartz type estimates are developed for wave equations with coefficients in an Lr Sobolev space of order n-1r + 1+ alpha, where 0 < alpha < 1.en_US
dc.format.extentiii, 89 p.en_US
dc.identifier.otherb53943326en_US
dc.identifier.other62247562en_US
dc.identifier.otherThesis 54714en_US
dc.identifier.urihttp://hdl.handle.net/1773/5745
dc.language.isoen_USen_US
dc.rightsCopyright is held by the individual authors.en_US
dc.rights.urien_US
dc.subject.otherTheses--Mathematicsen_US
dc.titleStrichartz estimates for wave equations with coefficients of Sobolev regularityen_US
dc.typeThesisen_US

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