Algunos aspectos del problema de obstáculo

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dc.contributor.advisorVélez López, Carlos Augustospa
dc.contributor.advisorDuque Álvarez, Luis Felipespa
dc.contributor.authorChica Castaño, Cristian Camilospa
dc.contributor.corporatenameUniversidad Nacional de Colombia - Sede Medellínspa
dc.contributor.researchgroupGRUPO DE INVESTIGACION EN MATEMATICAS UNIVERSIDAD NACIONAL DE COLOMBIA SEDE MEDELLINspa
dc.date.accessioned2020-08-21T19:58:12Zspa
dc.date.available2020-08-21T19:58:12Zspa
dc.date.issued2020-06-30spa
dc.description.abstractThe aim of this work is to study some aspects of the obstacle problem: existence and uniqueness of a solution using variational inequalities; regularity of the solution using the penalization method; a regularity result for the free boundary by Kinderlehrer and Nirenberg; and a detailed solution of a one-dimensional example of the obstacle problem.spa
dc.description.abstractEsta tesis de maestría estudia algunos aspectos del problema de obstáculo: existencia y unicidad de la solución usando desigualdades variacionales; regularidad de la solución utilizando el método de penalización; un resultado de regularidad de la frontera libre de Kinderlehrer y Nirenberg; y la solución de un ejemplo detallado del problema de obstáculo en una dimensión.spa
dc.description.degreelevelMaestríaspa
dc.format.extent66spa
dc.format.mimetypeapplication/pdfspa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/78158
dc.language.isoengspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Medellínspa
dc.publisher.departmentEscuela de matemáticasspa
dc.publisher.programMedellín - Ciencias - Maestría en Ciencias - Matemáticasspa
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dc.relation.referencesJ. Francu. Weakly continuous operators. Applications to differential equations. Appl. Math., 39(1):45–56, 1994.spa
dc.relation.referencesJ. Frehse. On the regularity of the solution of a second order variational inequality. Boll. Un. Mat. Ital, (4) 6:312–315, 1972.spa
dc.relation.referencesD. Gilbarg and N. S. Trudinger. Elliptic Partial Differential Equations of Second Order, volume 224 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, second edition, 1983.spa
dc.relation.referencesS. Kesavan. Topics in Functional Analysis and Applications. John Wiley & Sons, Inc., New York, 1989.spa
dc.relation.referencesD. Kinderlehrer and L. Nirenberg. Regularity in free boundary problems. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 4(2):373–391, 1977.spa
dc.relation.referencesD. Kinderlehrer and G. Stampacchia. An Introduction to Variational Inequalities and Their Applications, volume 88 of Pure and Applied Mathematics. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980.spa
dc.relation.referencesE. Kreyszig. Introductory Functional Analysis with Applications. John Wiley & Sons, New York-London-Sydney, 1978.spa
dc.relation.referencesH. Lewy and G. Stampacchia. On the regularity of the solution of a variational inequality. Comm. Pure Appl. Math., 22:153–188, 1969.spa
dc.relation.referencesJ. R. Munkres. Topology: a first course. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1975.spa
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dc.relation.referencesA. Petrosyan, H. Shahgholian, and N. Uraltseva. Regularity of Free Boundaries in Obstacletype Problems, volume 136 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2012.spa
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dc.rightsDerechos reservados - Universidad Nacional de Colombiaspa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.licenseAtribución-NoComercial 4.0 Internacionalspa
dc.rights.spaAcceso abiertospa
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/spa
dc.subject.ddc510 - Matemáticasspa
dc.subject.proposalObstacle problemeng
dc.subject.proposalProblema de obstáculospa
dc.subject.proposaldesigualdades variacionalesspa
dc.subject.proposalvariational inequalityeng
dc.subject.proposalfrontera librespa
dc.subject.proposalfree boundaryeng
dc.titleAlgunos aspectos del problema de obstáculospa
dc.title.alternativeSome aspects of the obstacle problemspa
dc.typeTrabajo de grado - Maestríaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.coarversionhttp://purl.org/coar/version/c_dc82b40f9837b551spa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.type.versioninfo:eu-repo/semantics/updatedVersionspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa

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