Linear and nonlinear nonlocal operators of order near zero

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dc.contributor.advisor Pablo Martínez, Arturo de
dc.contributor.author Correa Velandia, Ernesto
dc.date.accessioned 2020-10-29T13:27:34Z
dc.date.available 2020-10-29T13:27:34Z
dc.date.issued 2020-07
dc.date.submitted 2020-07-02
dc.identifier.uri http://hdl.handle.net/10016/31320
dc.description.abstract La presente tesis está dedicada al estudio de ciertos operadores de tipo integrodiferencial, de orden diferencial cercano a cero, de interés en aplicaciones y en teoría matemática.(...) El trabajo se divide en dos partes principales. En la primera parte estudiamos operadores lineales definidos por núcleos de Léevy no integrables poniendo el énfasis en núcleos con singularidad muy débil, en el límite de integrabilidad; en la segunda parte estudiamos operadores no lineales de tipo p-laplaciano fraccionario, incluyendo también núcleos débilmente no integrables.
dc.description.abstract The present thesis is dedicated to the study of certain integro-differential operators with differential order close to zero, which are interesting both, from the theoretical point of view and for the applications.(...) This work is divided into two main parts. In the first part we study linear operators defined by non integrable Lévy kernels, placing the emphasis on kernels with a very weak singularity. In the second part we study nonlinear operators of the fractional p-Laplacian type, including also weakly non-integrable kernels.
dc.language.iso eng
dc.relation.ispartof https://doi.org/10.1016/j.jmaa.2017.12.011
dc.relation.ispartof https://doi.org/10.1515/anona-2020-0002
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Integro-differential operators
dc.subject.other Nonlinear operators
dc.subject.other Nonlocal equations
dc.subject.other Lévy type operators
dc.title Linear and nonlinear nonlocal operators of order near zero
dc.type doctoralThesis
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.description.degree Programa de Doctorado en Ingeniería Matemática por la Universidad Carlos III de Madrid
dc.description.responsability Presidente: Salvador Villegas Barranco.- Secretario: Cristina Brandle Cerqueira.- Vocal: Raúl Ferreira de Pablo
dc.contributor.departamento Universidad Carlos III de Madrid. Departamento de Matemáticas
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