Artículo
Ignat, L.I.; Rossi, J.D. "Asymptotic behaviour for a nonlocal diffusion equation on a lattice" (2008) Zeitschrift fur Angewandte Mathematik und Physik. 59(5):918-925
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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 |
| 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 |
| 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 |
| Volumen: | 59 |
| Número: | 5 |
| Página de inicio: | 918 |
| Página de fin: | 925 |
| DOI: | http://dx.doi.org/10.1007/s00033-007-7011-0 |
| Título revista: | Zeitschrift fur Angewandte Mathematik und Physik |
| Título revista abreviado: | Z. Angew. Math. Phys. |
| ISSN: | 00442275 |
| 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
