Asymptotic behaviour for a nonlocal diffusion equation on a lattice

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 solution...

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Autor principal: Rossi, Julio Daniel
Publicado: 2008
Materias:
Asymptotic behaviour
Nonlocal diffusion
Decay (organic)
Diffusion
Discrete Fourier transforms
Mathematical equations
Non negatives
Optimal decay rates
Asymptotic analysis
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v59_n5_p918_Ignat
http://hdl.handle.net/20.500.12110/paper_00442275_v59_n5_p918_Ignat
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00442275_v59_n5_p918_Ignat2023-06-08T15:05:00Z Asymptotic behaviour for a nonlocal diffusion equation on a lattice Rossi, Julio Daniel Asymptotic behaviour Nonlocal diffusion Decay (organic) Diffusion Discrete Fourier transforms Asymptotic behaviour Mathematical equations Non negatives Nonlocal diffusion Optimal decay rates Asymptotic analysis 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. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v59_n5_p918_Ignat http://hdl.handle.net/20.500.12110/paper_00442275_v59_n5_p918_Ignat
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Asymptotic behaviour
Nonlocal diffusion
Decay (organic)
Diffusion
Discrete Fourier transforms
Asymptotic behaviour
Mathematical equations
Non negatives
Nonlocal diffusion
Optimal decay rates
Asymptotic analysis
spellingShingle Asymptotic behaviour
Nonlocal diffusion
Decay (organic)
Diffusion
Discrete Fourier transforms
Asymptotic behaviour
Mathematical equations
Non negatives
Nonlocal diffusion
Optimal decay rates
Asymptotic analysis
Rossi, Julio Daniel
Asymptotic behaviour for a nonlocal diffusion equation on a lattice
topic_facet Asymptotic behaviour
Nonlocal diffusion
Decay (organic)
Diffusion
Discrete Fourier transforms
Asymptotic behaviour
Mathematical equations
Non negatives
Nonlocal diffusion
Optimal decay rates
Asymptotic analysis
description 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.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title Asymptotic behaviour for a nonlocal diffusion equation on a lattice
title_short Asymptotic behaviour for a nonlocal diffusion equation on a lattice
title_full Asymptotic behaviour for a nonlocal diffusion equation on a lattice
title_fullStr Asymptotic behaviour for a nonlocal diffusion equation on a lattice
title_full_unstemmed Asymptotic behaviour for a nonlocal diffusion equation on a lattice
title_sort asymptotic behaviour for a nonlocal diffusion equation on a lattice
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v59_n5_p918_Ignat
http://hdl.handle.net/20.500.12110/paper_00442275_v59_n5_p918_Ignat
work_keys_str_mv AT rossijuliodaniel asymptoticbehaviourforanonlocaldiffusionequationonalattice
_version_ 1768545546759307264

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