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Abstract:

We obtain upper bounds for the decay rate for solutions to the nonlocal problem λtu(x, t) = ∫ℝn J(x, y)|u(y, t) - u(x, t)|p-2(u(y, t) - u(x, t)) dy with an initial condition u0 ε L1(ℝn) ∩ L(Rn) and a fixed p > 2. We assume that the kernel J is symmetric, bounded (and therefore there is no regularizing effect) but with polynomial tails, that is, we assume a lower bounds of the form J(x, y) ≥ c1|x - y|-(n+2λ), for |x - y| c2 and J(x, y) . c1, for |x - y| ≤ c2. We prove that (eqution presented) for q ≥ 1 and t large. © 2014 Esteve et al.

Registro:

Documento: Artículo
Título:Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem
Autor:Esteve, C.; Rossi, J.D.; Antolin, A.S.
Filiación:Departamento de Análisis Matemático, Universidad de Alicante, Ap. correos 99, Alicante, 03080, Spain
Departamento de Matemática, FCEyN UBA, Ciudad Universitaria, Pab 1, Buenos Aires, 1428, Argentina
Palabras clave:Decay rates; Nonlocal diffusion
Año:2014
Volumen:2014
DOI: http://dx.doi.org/10.1186/1687-2770-2014-109
Título revista:Boundary Value Problems
Título revista abreviado:Boundary Value Probl.
ISSN:16872762
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_16872762_v2014_n_p_Esteve

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Citas:

---------- APA ----------
Esteve, C., Rossi, J.D. & Antolin, A.S. (2014) . Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem. Boundary Value Problems, 2014.
http://dx.doi.org/10.1186/1687-2770-2014-109
---------- CHICAGO ----------
Esteve, C., Rossi, J.D., Antolin, A.S. "Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem" . Boundary Value Problems 2014 (2014).
http://dx.doi.org/10.1186/1687-2770-2014-109
---------- MLA ----------
Esteve, C., Rossi, J.D., Antolin, A.S. "Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem" . Boundary Value Problems, vol. 2014, 2014.
http://dx.doi.org/10.1186/1687-2770-2014-109
---------- VANCOUVER ----------
Esteve, C., Rossi, J.D., Antolin, A.S. Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem. Boundary Value Probl. 2014;2014.
http://dx.doi.org/10.1186/1687-2770-2014-109