Local Polya fluctuations of Riesz gravitational fields and the Cauchy problem

Local Polya fluctuations of Riesz gravitational fields and the Cauchy problem

We consider a pseudodifferential equation of parabolic type with a fractional power of the Laplace operator of order $\alpha\in(0;1)$ acting with respect to the spatial variable. This equation naturally generalizes the well-known fractal diffusion equation. It describes the local interaction of movi...

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Bibliographic Details
Main Author: V.A. Litovchenko
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2023-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
gravitational field
riesz potential
polya distribution
symmetric stable random lévy process
lévy's flight
fractal diffusion equation
fractional laplacian
fundamental solution
cauchy problem
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/5629

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https://journals.pnu.edu.ua/index.php/cmp/article/view/5629

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