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Qualitative behavior of dissipative wave equations on bounded domains

dc.contributor.authorRauch, Jeffreyen_US
dc.date.accessioned2006-09-11T17:29:37Z
dc.date.available2006-09-11T17:29:37Z
dc.date.issued1976-03en_US
dc.identifier.citationRauch, Jeffrey; (1976). "Qualitative behavior of dissipative wave equations on bounded domains." Archive for Rational Mechanics and Analysis 62(1): 77-85. <http://hdl.handle.net/2027.42/46198>en_US
dc.identifier.issn0003-9527en_US
dc.identifier.issn1432-0673en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46198
dc.description.abstractThe qualitative behavior of solutions of the mixed problem u tt = Δu-a(x)u t in IR x Ω, u=0 on IR x ∂Ω, is studied in the case when a>0 and Ω⊂IR n is bounded. Roughly speaking, if a≧a min >0, then solutions decay at least as fast as exp t(ɛ −1/2a min ), with the possible exception of a finite dimensional set of smooth solutions whose existence is associated with a phenomenon of overdamping. If a max is sufficiently small, depending on Ω, then no overdamping occurs.en_US
dc.format.extent360550 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Springer-Verlag Berlinen_US
dc.subject.otherFluidsen_US
dc.subject.otherPhysicsen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherMechanicsen_US
dc.subject.otherElectromagnetism, Optics and Lasersen_US
dc.titleQualitative behavior of dissipative wave equations on bounded domainsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46198/1/205_2004_Article_BF00251857.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00251857en_US
dc.identifier.sourceArchive for Rational Mechanics and Analysisen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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