Refined asymptotic expansions for nonlocal diffusion equations

We study the asymptotic behavior for solutions to nonlocal diffusion models of the form u t = J*u - u in the whole ℝ with an initial condition u(x, 0) = u 0(x). Under suitable hypotheses on J (involving its Fourier transform) and u 0, it is proved an expansion of the form equation is presented where...

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Detalles Bibliográficos
Autores principales: Ignat, L.I., Rossi, J.D.
Formato: JOUR
Materias:
Asymptotic behavior
Fractional Laplacian
Nonlocal diffusion
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14243199_v8_n4_p617_Ignat
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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