An inhomogeneous nonlocal diffusion problem with unbounded steps

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dc.contributor.authorCortazar, Carmen
dc.contributor.authorElgueta, Manuel
dc.contributor.authorGarcia Melian, Jorge
dc.contributor.authorMartinez, Salome
dc.date.accessioned2024-01-10T12:04:13Z
dc.date.available2024-01-10T12:04:13Z
dc.date.issued2016
dc.description.abstractWe consider the following nonlocal equation
dc.description.abstractintegral J (x-y/g(y)) u(y)/g(y) dy - u(x) = 0 x is an element of R,
dc.description.abstractwhere J is an even, compactly supported, Holder continuous kernel with unit integral and g is a continuous positive function. Our main concern will be with unbounded functions g, contrary to previous works. More precisely, we study the influence of the growth of g at infinity on the integrability of positive solutions of this equation, therefore determining the asymptotic behavior as t -> +infinity of the solutions to the associated evolution problem in terms of the growth of g.
dc.description.funderFONDECYT
dc.description.funderBasal project CMM U. de Chile
dc.description.funderCNRS
dc.fechaingreso.objetodigital2024-03-19
dc.format.extent24 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00028-015-0299-x
dc.identifier.eissn1424-3202
dc.identifier.issn1424-3199
dc.identifier.urihttps://doi.org/10.1007/s00028-015-0299-x
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75731
dc.identifier.wosidWOS:000371622200010
dc.information.autorucMatemática;Elgueta M;S/I;99097
dc.issue.numero1
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final232
dc.pagina.inicio209
dc.publisherSPRINGER BASEL AG
dc.revistaJOURNAL OF EVOLUTION EQUATIONS
dc.rightsacceso restringido
dc.subjectSPREADING SPEEDS
dc.subjectMONOSTABLE EQUATIONS
dc.subjectSTATIONARY SOLUTIONS
dc.subjectASYMPTOTIC-BEHAVIOR
dc.subjectTRAVELING-WAVES
dc.subjectEXISTENCE
dc.subjectUNIQUENESS
dc.subjectDISPERSAL
dc.subjectFRONTS
dc.subjectMODEL
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleAn inhomogeneous nonlocal diffusion problem with unbounded steps
dc.typeartículo
dc.volumen16
sipa.codpersvinculados99097
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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