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Exponential growth for the wave equation with compact time-periodic positive potential

dc.contributor.authorColombini, Ferruccioen_US
dc.contributor.authorRauch, Jeffreyen_US
dc.contributor.authorPetkov, Vesselinen_US
dc.date.accessioned2009-02-03T16:17:03Z
dc.date.available2010-05-07T17:40:09Zen_US
dc.date.issued2009-04en_US
dc.identifier.citationColombini, Ferruccio; Rauch, Jeffrey; Petkov, Vesselin (2009). "Exponential growth for the wave equation with compact time-periodic positive potential." Communications on Pure and Applied Mathematics 62(4): 565-582. <http://hdl.handle.net/2027.42/61531>en_US
dc.identifier.issn0010-3640en_US
dc.identifier.issn1097-0312en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/61531
dc.description.abstractWe prove the existence of smooth positive potentials V ( t, x ), periodic in time and with compact support in x , for which the Cauchy problem for the wave equation u tt − Δ x u + V ( t, x ) u = 0 has solutions with exponentially growing global and local energy. Moreover, we show that there are resonances, z ∈ [Copf], [verbar] z [verbar] > 1, associated to V ( t, x ). © 2008 Wiley Periodicals, Inc.en_US
dc.format.extent169734 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.publisherWiley Subscription Services, Inc., A Wiley Companyen_US
dc.subject.otherMathematics and Statisticsen_US
dc.titleExponential growth for the wave equation with compact time-periodic positive potentialen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, Department of Mathematics, 2074 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043en_US
dc.contributor.affiliationotherUniversitÀ di Pisa, Dipartimento di Matematica, Largo Bruno Pontecorvo 5, 56127, Italyen_US
dc.contributor.affiliationotherUniversitÉ Bordeaux 1, Institut de MathÉmatiques, BÂt A33, 351 cours de la LibÉration, F-33405 Talence, Franceen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/61531/1/20249_ftp.pdf
dc.identifier.doihttp://dx.doi.org/10.1002/cpa.20249en_US
dc.identifier.sourceCommunications on Pure and Applied Mathematicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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