Sobre el buen planteamiento y continuación única para la ecuación rBOG

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dc.contributor.advisorRodriguez Blanco, Guillermo
dc.contributor.authorLeguizamón Mora, Adriana
dc.date.accessioned2021-04-27T17:10:47Z
dc.date.available2021-04-27T17:10:47Z
dc.date.issued2020
dc.description.abstractEn este trabajo establecemos el buen planteamiento en los espacios de Sobolev y en los espacios de Sobolev con pesos del problema de Cauchy asociado a la ecuación r-BOg. También, estableceremos resultados sobre la continuación única, para esta ecuación.spa
dc.description.abstractIn this work we establish the well-posedness in the Sobolev spaces and in the Sobolev spaces with weights of the Cauchy problem associated to the r-BOg equation. Also, we establish results over unique continuation, for this equation.eng
dc.description.degreelevelMaestríaspa
dc.format.extent1 recurso en línea (46 páginas)spa
dc.format.mimetypeapplication/pdfspa
dc.identifier.instnameUniversidad Nacional de Colombiaspa
dc.identifier.reponameRepositorio Institucional Universidad Nacional de Colombiaspa
dc.identifier.repourlhttps://repositorio.unal.edu.co/spa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/79419
dc.language.isospaspa
dc.publisherUniversidad Nacional de Colombiaspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Bogotáspa
dc.publisher.departmentDepartamento de Matemáticasspa
dc.publisher.facultyFacultad de Cienciasspa
dc.publisher.placeBogotáspa
dc.publisher.programBogotá - Ciencias - Maestría en Ciencias - Matemáticasspa
dc.relation.referencesBergh, J. and L ̈ofstr ̈om, J. (1976).Interpolation spaces: an introduction. Grundlehren der mathematischen Wissenshaften. Springer-Verlag.spa
dc.relation.referencesBolaños, J. F. (2018).El problema de Cauchy asociado a una generalización del aecuación ZK-BBM. Doctorado thesis, Universidad Nacional de Colombia - SedeBogotá.spa
dc.relation.referencesBona, T. B. J. and Mahony., J. J. (1972).Model sequations for long waves in nonlinear dispersive systems. Philosophical Transactions of the RoyalSociety of London A: Mathematical, Physical and Engineering Sciences.spa
dc.relation.referencesChen, J. L. B.-H. (2003).Local and global well-posedness results for generalized BBM-type equations. Lecture Notes in Pure and Appl. Math., 234, dekker, new yorkedition.spa
dc.relation.referencesFonseca, G., Linares, F., and Ponce, G. (2013). The IVP for the dispersion generalized benjamin-ono-equation in weighted sobolev spaces. a. In Annalesde l’Institud Henri Poncaire (C) Non Linear Analisys, pages 763-790. Elsevier.spa
dc.relation.referencesFonseca, G., Rodiguez, G., and W. Sandoval, F. (2015). Well-Posedness and Ill-Posedness Results for the Regularized Benjamin-Ono Equation in Weighted Sobolev Spaces. 14. Communications on Pure and Applied Analysis, 4 edition.spa
dc.relation.referencesGallouet, H. B.-T. (1980).Nonlinear Schrödinger evolution equations. Non-linear Anal. 4 (4), 4 edition.spa
dc.relation.referencesHalanay, A. (1966). Differencial equations: Stability, oscillations, timelags. Academic press, 23 edition.spa
dc.relation.referencesKato, T. and Ponce, G. (1988).Conmutador estimates and the euler and navier-stokes equations. 891-907. Communications and pure and applied mathematics,41(7) edition.spa
dc.relation.referencesKorteweg, D. D. J. and de Vries, D. G. (1895). Xli. on thechange of form of long waves advancing in a rectangular canal, and on a new type oflong stationary waves. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 39(240):422–443.spa
dc.relation.referencesKreyszig, E. (1978).Introductory functional analysis with applications.Jhon Wiley & Sons.spa
dc.relation.referencesLinares, F. and Ponce, G. (2009).Introduction to nonlinear dispersive equations. Springer-Verlag.spa
dc.relation.referencesR. J. I\orio and W. V. L. Nunes. (1991).Introduç\~ao às equaç\~oes de Evoluç\~ao n\~ao Lineares. Col ́oquio Brasileiro de Matemática, IMPA., 18oedition.spa
dc.relation.referencesOno., H. (1975).Algebraic solitary waves instratified fluids. Journal of the Physical Society of Japan.spa
dc.relation.referencesPonce, G. F.-G. (2011).The IVP for the Benjamin-Ono equation in weighted Sobolev spaces. J. Funct. Anal., 2 edition.spa
dc.relation.referencesR. J. I\orio and Jr. - Val\eria de Magalh\~aes I\orio (2001).Fourier Analysis and Partial Differential Equations. Cambridge studies in avanced mathematics, 70 edition.spa
dc.relation.referencesIório-Jr., R. J. and de Magalh ̃aes I ́orio (1988).Equações diferenciais parciais: Uma introdução. Projeto Euclides, IMPA/CNPq.spa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.licenseAtribución-NoComercial-SinDerivadas 4.0 Internacionalspa
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/spa
dc.subject.armarcMathematical analysis
dc.subject.ddc510 - Matemáticas::518 - Análisis numéricospa
dc.subject.proposalProblema de Cauchyspa
dc.subject.proposalEcuación r-BOgspa
dc.subject.proposalBuen planteamiento localspa
dc.subject.proposalBuen planteamiento globalspa
dc.subject.proposalCauchy problemeng
dc.subject.proposalr-BOg equationeng
dc.subject.proposalLocal and global well-posednesseng
dc.subject.unescoAnálisis matemático
dc.titleSobre el buen planteamiento y continuación única para la ecuación rBOGspa
dc.title.translatedOn the good approach and unique continuation for the rBOG equationeng
dc.typeTrabajo de grado - Maestríaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.type.redcolhttp://purl.org/redcol/resource_type/TMspa
dc.type.versioninfo:eu-repo/semantics/acceptedVersionspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa

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