What is the fractional Laplacian? A comparative review with new results

The fractional Laplacian in Rd, which we write as (−Δ)α/2 with α∈(0,2), has multiple equivalent characterizations. Moreover, in bounded domains, boundary conditions must be incorporated in these characterizations in mathematically distinct ways, and there is currently no consensus in the literature...

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Vydané v:	Journal of computational physics Ročník 404; s. 109009
Hlavní autori:	Lischke, Anna, Pang, Guofei, Gulian, Mamikon, Song, Fangying, Glusa, Christian, Zheng, Xiaoning, Mao, Zhiping, Cai, Wei, Meerschaert, Mark M., Ainsworth, Mark, Karniadakis, George Em
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cambridge Elsevier Inc 01.03.2020 Elsevier Science Ltd Elsevier
Predmet:	Anomalous diffusion Approximation Boundary conditions Boundary value problems Collocation methods Computational physics Domains First principles Fractional Laplacian MATHEMATICS AND COMPUTING Nonlocal model Numerical analysis Numerical methods Operators (mathematics) Poisson equation Radial basis function Regularity Spectra Stable Lévy motion Stable Lévy motion Nonlocal model Fractional Laplacian Regularity Anomalous diffusion
ISSN:	0021-9991, 1090-2716
On-line prístup:	Získať plný text
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