EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SOME INHOMOGENEOUS NONLOCAL DIFFUSION PROBLEMS

Simple item page
dc.contributor.authorCortazar, Carmen
dc.contributor.authorElgueta, Manuel
dc.contributor.authorGarcia Melian, Jorge
dc.contributor.authorMartinez, Salome
dc.date.accessioned2024-01-10T12:38:49Z
dc.date.available2024-01-10T12:38:49Z
dc.date.issued2009
dc.description.abstractWe consider the nonlocal evolution Dirichlet problem u(t)(x, t) = f(Omega) J(x-y/g(y)) u(y, t)/g(y)(N) dy- u(x, t), x is an element of Omega, t > 0; u = 0, x is an element of R-N\Omega, t >= 0; u(x, 0) = u(0)(x), x is an element of R-N; where Omega is a bounded domain in R-N, J is a Holder continuous, nonnegative, compactly supported function with unit integral and g is an element of C((Omega) over bar) is assumed to be positive in Omega. We discuss existence, uniqueness, and asymptotic behavior of solutions as t -> |infinity. Moreover, we prove the existence of a positive stationary solution when the inequality g(x) <= delta(x) holds at every point of Omega, where delta(x) = dist(x, partial derivative Omega). The behavior of positive stationary solutions near the boundary is also analyzed.
dc.description.funderMinisterio de Ciencia e Innovacion
dc.description.funderFEDER, (Spain)
dc.description.funderCONICYT (FONDECYT Cooperacion Internacional)
dc.description.funderFONDECYT
dc.description.funderFondap de Matematicas Aplicadas (Chile).
dc.fechaingreso.objetodigital2024-05-14
dc.format.extent29 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1137/090751682
dc.identifier.eissn1095-7154
dc.identifier.issn0036-1410
dc.identifier.urihttps://doi.org/10.1137/090751682
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77105
dc.identifier.wosidWOS:000277835100013
dc.information.autorucMatemática;Cortázar C;S/I;99550
dc.information.autorucMatemática;Elgueta M;S/I;99097
dc.issue.numero5
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final2164
dc.pagina.inicio2136
dc.publisherSIAM PUBLICATIONS
dc.revistaSIAM JOURNAL ON MATHEMATICAL ANALYSIS
dc.rightsacceso restringido
dc.subjectnonlocal
dc.subjectinhomogeneous
dc.subjectasymptotic
dc.subjectdiffusion
dc.subjectdispersal
dc.subjectINTEGRODIFFERENTIAL EQUATIONS
dc.subjectMONOSTABLE NONLINEARITY
dc.subjectPHASE-TRANSITIONS
dc.subjectDIRICHLET PROBLEM
dc.subjectTRAVELING-WAVES
dc.subjectUNIQUENESS
dc.subjectDISPERSAL
dc.subjectMODEL
dc.subjectSTABILITY
dc.subjectOPERATORS
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleEXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO SOME INHOMOGENEOUS NONLOCAL DIFFUSION PROBLEMS
dc.typeartículo
dc.volumen41
sipa.codpersvinculados99550
sipa.codpersvinculados99097
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Existence and asymptotic behavior of solutions to some inhomogeneous nonlocal diffusion problems.pdf
Size:
2.72 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Artículos de revistas