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Cortázar, C.; Elgueta, M.; Quirós, F.; Wolanski, N. "Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes" (2012) Archive for Rational Mechanics and Analysis. 205(2):673-697
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Abstract:

The paper deals with the asymptotic behavior of solutions to a non-local diffusion equation, u t = J*u-u:= Lu, in an exterior domain, Ω, which excludes one or several holes, and with zero Dirichlet data on ℝ N\\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. © 2012 Springer-Verlag.

Registro:

Documento: Artículo
Título:Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes
Autor:Cortázar, C.; Elgueta, M.; Quirós, F.; Wolanski, N.
Filiación:Departamento de Matemática, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
Departamento de Matemática, FCEyN, UBA, and IMAS, CONICET, 1428 Buenos Aires, Argentina
Año:2012
Volumen:205
Número:2
Página de inicio:673
Página de fin:697
DOI: http://dx.doi.org/10.1007/s00205-012-0519-2
Título revista:Archive for Rational Mechanics and Analysis
Título revista abreviado:Arch. Ration. Mech. Anal.
ISSN:00039527
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00039527_v205_n2_p673_Cortazar

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Citas:

---------- APA ----------
Cortázar, C., Elgueta, M., Quirós, F. & Wolanski, N. (2012) . Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes. Archive for Rational Mechanics and Analysis, 205(2), 673-697.
http://dx.doi.org/10.1007/s00205-012-0519-2
---------- CHICAGO ----------
Cortázar, C., Elgueta, M., Quirós, F., Wolanski, N. "Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes" . Archive for Rational Mechanics and Analysis 205, no. 2 (2012) : 673-697.
http://dx.doi.org/10.1007/s00205-012-0519-2
---------- MLA ----------
Cortázar, C., Elgueta, M., Quirós, F., Wolanski, N. "Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes" . Archive for Rational Mechanics and Analysis, vol. 205, no. 2, 2012, pp. 673-697.
http://dx.doi.org/10.1007/s00205-012-0519-2
---------- VANCOUVER ----------
Cortázar, C., Elgueta, M., Quirós, F., Wolanski, N. Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes. Arch. Ration. Mech. Anal. 2012;205(2):673-697.
http://dx.doi.org/10.1007/s00205-012-0519-2