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Decay of Solutions of the Wave Equation in the Kerr Geometry
dc.contributor.authorYau, Shing-Tungen_US
dc.contributor.authorFinster, Felixen_US
dc.contributor.authorKamran, N.en_US
dc.contributor.authorSmoller, Joel A.en_US
dc.date.accessioned2006-09-11T17:51:51Z
dc.date.available2006-09-11T17:51:51Z
dc.date.issued2006-06en_US
dc.identifier.citationFinster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.; (2006). "Decay of Solutions of the Wave Equation in the Kerr Geometry." Communications in Mathematical Physics 264(2): 465-503. <http://hdl.handle.net/2027.42/46505>en_US
dc.identifier.issn1432-0916en_US
dc.identifier.issn0010-3616en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46505
dc.description.abstractWe consider the Cauchy problem for the massless scalar wave equation in the Kerr geometry for smooth initial data compactly supported outside the event horizon. We prove that the solutions decay in time in L ∞ loc . The proof is based on a representation of the solution as an infinite sum over the angular momentum modes, each of which is an integral of the energy variable ω on the real line. This integral representation involves solutions of the radial and angular ODEs which arise in the separation of variables.en_US
dc.format.extent362581 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Springer-Verlag Berlin Heidelbergen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherPhysicsen_US
dc.subject.otherQuantum Computing, Information and Physicsen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherRelativity and Cosmologyen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.titleDecay of Solutions of the Wave Equation in the Kerr Geometryen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumMathematics Department, , The University of Michigan, , Ann Arbor, MI, 48109, USAen_US
dc.contributor.affiliationotherDepartment of Math. and Statistics, , McGill University, , Montréal, Québec, Canada, H3A 2K6en_US
dc.contributor.affiliationotherNWF I – Mathematik, , Universität Regensburg, , 93040, Regensburg, Germanyen_US
dc.contributor.affiliationotherMathematics Department, , Harvard University, , Cambridge, MA, 02138, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46505/1/220_2006_Article_1525.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s00220-006-1525-8en_US
dc.identifier.sourceCommunications in Mathematical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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