Abstract:
In this paper we study the asymptotic behaviour as t → ∞ of solutions to a nonlocal diffusion problem on a lattice, namely, 'mathematical equation present' with t ≥ 0 and n ∈ ℤd . We assume that J is nonnegative and verifies 'mathematical equation present' . We find that solutions decay to zero as t → ∞ and prove an optimal decay rate using, as our main tool, the discrete Fourier transform. © 2007 Birkhaeuser.
Registro:
Documento: |
Artículo
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Título: | Asymptotic behaviour for a nonlocal diffusion equation on a lattice |
Autor: | Ignat, L.I.; Rossi, J.D. |
Filiación: | Departamento de Matemáticas, U. Autónoma de Madrid, Madrid 28049, Spain Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest RO-014700, Romania Depto. Matemática, FCEyN UBA (1428), Buenos Aires, Argentina
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Palabras clave: | Asymptotic behaviour; Nonlocal diffusion; Decay (organic); Diffusion; Discrete Fourier transforms; Asymptotic behaviour; Mathematical equations; Non negatives; Nonlocal diffusion; Optimal decay rates; Asymptotic analysis |
Año: | 2008
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Volumen: | 59
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Número: | 5
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Página de inicio: | 918
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Página de fin: | 925
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DOI: |
http://dx.doi.org/10.1007/s00033-007-7011-0 |
Título revista: | Zeitschrift fur Angewandte Mathematik und Physik
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Título revista abreviado: | Z. Angew. Math. Phys.
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ISSN: | 00442275
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v59_n5_p918_Ignat |
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Citas:
---------- APA ----------
Ignat, L.I. & Rossi, J.D.
(2008)
. Asymptotic behaviour for a nonlocal diffusion equation on a lattice. Zeitschrift fur Angewandte Mathematik und Physik, 59(5), 918-925.
http://dx.doi.org/10.1007/s00033-007-7011-0---------- CHICAGO ----------
Ignat, L.I., Rossi, J.D.
"Asymptotic behaviour for a nonlocal diffusion equation on a lattice"
. Zeitschrift fur Angewandte Mathematik und Physik 59, no. 5
(2008) : 918-925.
http://dx.doi.org/10.1007/s00033-007-7011-0---------- MLA ----------
Ignat, L.I., Rossi, J.D.
"Asymptotic behaviour for a nonlocal diffusion equation on a lattice"
. Zeitschrift fur Angewandte Mathematik und Physik, vol. 59, no. 5, 2008, pp. 918-925.
http://dx.doi.org/10.1007/s00033-007-7011-0---------- VANCOUVER ----------
Ignat, L.I., Rossi, J.D. Asymptotic behaviour for a nonlocal diffusion equation on a lattice. Z. Angew. Math. Phys. 2008;59(5):918-925.
http://dx.doi.org/10.1007/s00033-007-7011-0