Nonlinear Heat Equation with a Fractional Laplacian in a Disk
نویسندگان
چکیده
منابع مشابه
Decay of Mass for Nonlinear Equation with Fractional Laplacian
where the pseudo-differential operator Λ = (−∆)α/2 with 0 < α ≤ 2 is defined by the Fourier transformation: Λ̂αu(ξ) = |ξ|αû(ξ). Moreover, we assume that λ ∈ {−1, 1} and p > 1. Nonlinear evolution problems involving fractional Laplacian describing the anomalous diffusion (or α-stable Lévy diffusion) have been extensively studied in the mathematical and physical literature (see [2, 11, 5] for refe...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1999
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-81-1-101-122