Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem

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 reg...

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Autores principales: Esteve, C., Rossi, J.D., Antolin, A.S.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_16872762_v2014_n_p_Esteve
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