Representación integral de soluciones de problemas no locales

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dc.contributor.advisorJiménez Urrea, Jose Manuel
dc.contributor.advisorChica Castaño, Cristian Camilo
dc.contributor.authorAgudelo Parra, Nelson Andrés
dc.contributor.researchgroupGrupo de investigación en matemáticas Universidad Nacional de Colombia Sede Medellínspa
dc.date.accessioned2023-02-06T19:34:52Z
dc.date.available2023-02-06T19:34:52Z
dc.date.issued2022-09
dc.description.abstractEn este trabajo estudiamos un problema semilineal que involucra un operador de tipo no local a través de la transformada de Fourier. Investigamos existencia y unicidad local de soluciones vía el principio de Duhamel y las propiedades del kernel asociado al operador involucrado. (Tomado de la fuente)spa
dc.description.abstractn this work we study a semilinear problem involving a type of non-local operator through the Fourier transform. We investigate the existence and local uniqueness of solutions, using Duhamel’s principle and the properties of the kernel associated with the aforementioned operator.eng
dc.description.curricularareaÁrea Curricular en Matemáticasspa
dc.description.degreelevelMaestríaspa
dc.description.degreenameMagíster en Ciencias - Matemáticasspa
dc.description.researchareaEcuaciones de evolución no linealesspa
dc.format.extent86 páginasspa
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/83328
dc.language.isospaspa
dc.publisherUniversidad Nacional de Colombiaspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Medellínspa
dc.publisher.facultyFacultad de Cienciasspa
dc.publisher.placeMedellín, Colombiaspa
dc.publisher.programMedellín - Ciencias - Maestría en Ciencias - Matemáticasspa
dc.relation.indexedLaReferenciaspa
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dc.relation.referencesL. Fiske and C. Overturf. Tempered Distributions. University of New Me- xico, 2001. https://www.math.unm.edu/~crisp/courses/math402/spring16/ Distributions402CairnLionel.pdfspa
dc.relation.referencesL. Mattner. Complex differentiation under the integral. Department of Statistics. Univer- sity of Leeds. Leeds, LS2 9JT, England, 2001. http://www.nieuwarchief.nl/serie5/pdf/ naw5-2001-02-1-032.pdfspa
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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.ddc510 - Matemáticasspa
dc.subject.ddc510 - Matemáticas::515 - Análisisspa
dc.subject.lembFunciones de Kernel
dc.subject.lembTransformaciones de Fourier
dc.subject.proposalTransformada de Fourierspa
dc.subject.proposalFourier transformeng
dc.subject.proposalDuhamel’s principleeng
dc.subject.proposalweak solutioneng
dc.subject.proposalPrincipio de Duhamelspa
dc.subject.proposalSolución débilspa
dc.subject.proposalWeak solutioneng
dc.titleRepresentación integral de soluciones de problemas no localesspa
dc.title.translatedIntegral representation of non local problems solutionseng
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
dcterms.audience.professionaldevelopmentInvestigadoresspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa
oaire.awardtitleProblemas en ecuaciones diferenciales del tipo elíptico o dispersivo. Apoyo Ciencias 2021spa
oaire.fundernameFacultad de Ciencias sede Medellínspa

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