Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation

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dc.contributor.advisorBeckner, Williamen
dc.contributor.advisorPavlovic, Natasaen
dc.contributor.committeeMemberCaffarelli, Luisen
dc.contributor.committeeMemberGamba, Ireneen
dc.contributor.committeeMemberStaffilani, Gigliolaen
dc.contributor.committeeMemberUhlenbeck, Karenen
dc.contributor.committeeMemberVishik, Mikhailen
dc.creatorBulut, Aynuren
dc.date.accessioned2011-10-25T17:34:41Zen
dc.date.accessioned2017-05-11T22:23:36Z
dc.date.available2011-10-25T17:34:41Zen
dc.date.available2017-05-11T22:23:36Z
dc.date.issued2011-08en
dc.date.submittedAugust 2011en
dc.date.updated2011-10-25T17:34:47Zen
dc.descriptiontexten
dc.description.abstractWe study the initial value problem for the defocusing nonlinear wave equation with cubic nonlinearity F(u)=|u|^2u in the energy-supercritical regime, that is dimensions d\geq 5. We prove that solutions to this equation satisfying an a priori bound in the critical homogeneous Sobolev space exist globally in time and scatter in the case of spatial dimensions d\geq 6 with general (possibly non-radial) initial data, and in the case of spatial dimension d=5 with radial initial data.en
dc.description.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.slug2152/ETD-UT-2011-08-4118en
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2011-08-4118en
dc.language.isoengen
dc.subjectGlobal well-posednessen
dc.subjectScatteringen
dc.subjectEnergy-supercriticalen
dc.subjectNonlinear wave equationen
dc.titleGlobal well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equationen
dc.type.genrethesisen

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