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Campo DC | Valor | Lengua/Idioma |
---|---|---|
dc.creator | Cortázar, Carmen | - |
dc.creator | Elgueta, Manuel | - |
dc.creator | Quirós, Fernando | - |
dc.creator | Wolanski, Noemi Irene | - |
dc.date | 2017-07-07T21:08:56Z | - |
dc.date | 2017-07-07T21:08:56Z | - |
dc.date | 2012-08 | - |
dc.date | 2017-07-07T14:43:36Z | - |
dc.date.accessioned | 2019-04-29T15:51:15Z | - |
dc.date.available | 2019-04-29T15:51:15Z | - |
dc.date.issued | 2012-08 | - |
dc.identifier | 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 | 0003-9527 | - |
dc.identifier | http://hdl.handle.net/11336/19929 | - |
dc.identifier | 1432-0673 | - |
dc.identifier | CONICET Digital | - |
dc.identifier | CONICET | - |
dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/303769 | - |
dc.description | 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.description | Fil: Cortázar, Carmen. Pontificia Universidad Católica de Chile; Chile | - |
dc.description | Fil: Elgueta, Manuel. Pontificia Universidad Católica de Chile; Chile | - |
dc.description | Fil: Quirós, Fernando. Universidad Autónoma de Madrid; España | - |
dc.description | 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.format | application/pdf | - |
dc.format | application/pdf | - |
dc.language | eng | - |
dc.publisher | Springer | - |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00205-012-0519-2 | - |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00205-012-0519-2 | - |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1111.1761 | - |
dc.rights | info:eu-repo/semantics/restrictedAccess | - |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | - |
dc.source | reponame:CONICET Digital (CONICET) | - |
dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
dc.source | instacron:CONICET | - |
dc.subject | Nonlocal diffusion | - |
dc.subject | Exterior domain | - |
dc.subject | Asymptotic behavior | - |
dc.subject | Matched asymptotics | - |
dc.subject | Matemática Pura | - |
dc.subject | Matemáticas | - |
dc.subject | 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:eu-repo/semantics/publishedVersion | - |
dc.type | info:ar-repo/semantics/articulo | - |
Aparece en las colecciones: | CONICET |
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