Boundary fluxes for nonlocal diffusion

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dc.contributor.authorCortazar, Carmen
dc.contributor.authorElgueta, Manuel
dc.contributor.authorRossi, Julio D.
dc.contributor.authorWolanski, Noemi
dc.date.accessioned2024-01-10T13:46:30Z
dc.date.available2024-01-10T13:46:30Z
dc.date.issued2007
dc.description.abstractWe study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition. (c) 2006 Elsevier Inc. All rights reserved.
dc.fechaingreso.objetodigital27-03-2024
dc.format.extent31 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jde.2006.12.002
dc.identifier.issn0022-0396
dc.identifier.urihttps://doi.org/10.1016/j.jde.2006.12.002
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79167
dc.identifier.wosidWOS:000245182700002
dc.information.autorucMatemática;Cortázar C;S/I;99550
dc.information.autorucMatemática;Elgueta M;S/I;99097
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido completo
dc.pagina.final390
dc.pagina.inicio360
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF DIFFERENTIAL EQUATIONS
dc.rightsacceso abierto
dc.subjectnonlocal diffusion
dc.subjectboundary value problems
dc.subjectCAHN-HILLIARD EQUATION
dc.subjectCONVOLUTION MODEL
dc.subjectPHASE-TRANSITIONS
dc.subjectBLOW-UP
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleBoundary fluxes for nonlocal diffusion
dc.typeartículo
dc.volumen234
sipa.codpersvinculados99550
sipa.codpersvinculados99097
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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