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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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