Fractional Diffusion Limit of a Linear Kinetic Equation in a Bounded Domain
arXiv (Cornell University)(2016)
摘要
A version of fractional diffusion on bounded domains, subject to 'homogeneous Dirichlet boundary conditions' is derived from a kinetic transport model with homogeneous inflow boundary conditions. For nonconvex domains, the result differs from standard formulations. It can be interpreted as the forward Kolmogorow equation of a stochastic process with jumps along straight lines, remaining inside the domain.
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关键词
Fractional Laplacian
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