Hyperbolic-like estimates for higher order equations

dc.creatorD'Abbicco, M.
dc.creatorEbert, Marcelo Rempel
dc.date.accessioned2013-10-30T15:47:10Z
dc.date.accessioned2018-07-04T16:07:06Z
dc.date.available2013-10-30T15:47:10Z
dc.date.available2018-07-04T16:07:06Z
dc.date.created2013-10-30T15:47:10Z
dc.date.issued2013-08-02
dc.identifierJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, SAN DIEGO, v. 395, n. 2, supl. 1, Part 3, pp. 747-765, 42309, 2012
dc.identifier0022-247X
dc.identifierhttp://www.producao.usp.br/handle/BDPI/36862
dc.identifier10.1016/j.jmaa.2012.05.070
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2012.05.070
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1631651
dc.description.abstractThe main goal of this paper is to derive long time estimates of the energy for the higher order hyperbolic equations with time-dependent coefficients. in particular, we estimate the energy in the hyperbolic zone of the extended phase space by means of a function f (t) which depends on the principal part and on the coefficients of the terms of order m - 1. Then we look for sufficient conditions that guarantee the same energy estimate from above in all the extended phase space. We call this class of estimates hyperbolic-like since the energy behavior is deeply depending on the hyperbolic structure of the equation. In some cases, these estimates produce a dissipative effect on the energy. (C) 2012 Elsevier Inc. All rights reserved.
dc.languageeng
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.publisherSAN DIEGO
dc.relationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
dc.rightsCopyright ACADEMIC PRESS INC ELSEVIER SCIENCE
dc.rightsrestrictedAccess
dc.subjectHYPERBOLIC HIGHER ORDER EQUATIONS
dc.subjectENERGY ESTIMATES
dc.subjectDISSIPATIVE EFFECTS
dc.titleHyperbolic-like estimates for higher order equations
dc.typeArtículos de revistas


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