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dc.contributor.author
Cortázar, Carmen
dc.contributor.author
Elgueta, Manuel
dc.contributor.author
Quirós, Fernando
dc.contributor.author
Wolanski, Noemi Irene
dc.date.available
2017-07-07T21:08:56Z
dc.date.issued
2012-08
dc.identifier.citation
Cortázar, Carmen; Elgueta, Manuel; Quirós, Fernando; Wolanski, Noemi Irene; Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes; Springer; Archive For Rational Mechanics And Analysis; 205; 2; 8-2012; 673-697
dc.identifier.issn
0003-9527
dc.identifier.uri
http://hdl.handle.net/11336/19929
dc.description.abstract
The paper deals with the asymptotic behavior of solutions to a non-local diffusion equation, ut = J ∗u −u := Lu, in an exterior domain, Ω, which excludes one or several holes, and with zero Dirichlet data on RN \Ω. When the space dimension is three or more this behavior is given by a multiple of the fundamental solution of the heat equation away from the holes. On the other hand, if the solution is scaled according to its decay factor, close to the holes it behaves like a function that is L-harmonic, Lu = 0, in the exterior domain and vanishes in its complement. The height of such a function at infinity is determined through a matching procedure with the multiple of the fundamental solution of the heat equation representing the outer behavior. The inner and the outer behaviors can be presented in a unified way through a suitable global approximation.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Nonlocal Diffusion
dc.subject
Exterior Domain
dc.subject
Asymptotic Behavior
dc.subject
Matched Asymptotics
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-07-07T14:43:36Z
dc.identifier.eissn
1432-0673
dc.journal.volume
205
dc.journal.number
2
dc.journal.pagination
673-697
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Cortázar, Carmen. Pontificia Universidad Católica de Chile; Chile
dc.description.fil
Fil: Elgueta, Manuel. Pontificia Universidad Católica de Chile; Chile
dc.description.fil
Fil: Quirós, Fernando. Universidad Autónoma de Madrid; España
dc.description.fil
Fil: Wolanski, Noemi Irene. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.journal.title
Archive For Rational Mechanics And Analysis
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00205-012-0519-2
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00205-012-0519-2
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1111.1761


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