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BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one

dc.contributor.authorRauch, Jeffreyen_US
dc.date.accessioned2006-09-11T17:48:51Z
dc.date.available2006-09-11T17:48:51Z
dc.date.issued1986-09en_US
dc.identifier.citationRauch, Jeffrey; (1986). "BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one." Communications in Mathematical Physics 106(3): 481-484. <http://hdl.handle.net/2027.42/46465>en_US
dc.identifier.issn0010-3616en_US
dc.identifier.issn1432-0916en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46465
dc.description.abstractWe show that for most non-scalar systems of conservation laws in dimension greater than one, one does not have BV estimates of the form even for smooth solutions close to constants. Analogous estimates for L p norms with F as above are also false. In one dimension such estimates are the backbone of the existing theory.en_US
dc.format.extent205120 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherRelativity and Cosmologyen_US
dc.subject.otherPhysicsen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherQuantum Computing, Information and Physicsen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherStatistical Physicsen_US
dc.titleBV estimates fail for most quasilinear hyperbolic systems in dimensions greater than oneen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, Ann Arbor, USA; Centre de Mathématiques Appliquées, Ecole Polytechnique, F-91128, Palaiseau, Franceen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46465/1/220_2005_Article_BF01207258.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01207258en_US
dc.identifier.sourceCommunications in Mathematical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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