GENERALIZED SOLUTIONS TO THE KORTEWEG-DEVRIES AND THE REGULARIZED LONG-WAVE EQUATIONS

dc.creatorBIAGIONI, HA
dc.creatorOBERGUGGENBERGER, M
dc.date1992
dc.dateJUL
dc.date2014-07-30T17:47:37Z
dc.date2015-11-26T16:52:13Z
dc.date2014-07-30T17:47:37Z
dc.date2015-11-26T16:52:13Z
dc.date.accessioned2018-03-28T23:39:07Z
dc.date.available2018-03-28T23:39:07Z
dc.identifierSiam Journal On Mathematical Analysis. Siam Publications, v. 23, n. 4, n. 923, n. 940, 1992.
dc.identifier0036-1410
dc.identifierWOS:A1992HZ28600007
dc.identifier10.1137/0523049
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/67871
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/67871
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1276215
dc.descriptionIn this article generalized solutions to two model equations describing nonlinear dispersive waves are studied. The solutions are found in certain algebras of new generalized functions containing spaces of distributions. On the one hand, this allows the handling of initial data with strong singularities. On the other hand, suitable scaling allows one to introduce an infinitesimally small coefficient; thereby the authors produce generalized solutions in the sense of Colombeau to the inviscid Burgers equation.
dc.description23
dc.description4
dc.description923
dc.description940
dc.languageen
dc.publisherSiam Publications
dc.publisherPhiladelphia
dc.relationSiam Journal On Mathematical Analysis
dc.relationSIAM J. Math. Anal.
dc.rightsaberto
dc.sourceWeb of Science
dc.subjectNONLINEAR DISPERSIVE WAVES
dc.subjectALGEBRAS OF GENERALIZED FUNCTIONS
dc.subjectSINGULAR INITIAL DATA
dc.subjectSMALL DISPERSION LIMIT
dc.subjectSmall Dispersion Limit
dc.subjectDevries Equation
dc.titleGENERALIZED SOLUTIONS TO THE KORTEWEG-DEVRIES AND THE REGULARIZED LONG-WAVE EQUATIONS
dc.typeArtículos de revistas


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