Potential theory and optimal convergence rates in fast nonlinear diffusion
نویسندگان
چکیده
منابع مشابه
Potential theory and optimal convergence rates in fast nonlinear diffusion ?
A potential theoretic comparison technique is developed, which yields the conjectured optimal rate of convergence as t → ∞ for solutions of the fast diffusion equation ut = ∆(u), (n− 2)+/n < m ≤ n/(n+ 2), u, t ≥ 0, x ∈ R, n ≥ 1 to a spreading self-similar profile, starting from integrable initial data with sufficiently small tails. This 1/t rate is achieved uniformly in relative error, and in w...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2006
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2006.01.002