Cauchy Problem for Fractional Diffusion Equations
偏微分方程分析
2012-06-26 v2 数学物理
math.MP
摘要
We consider an evolution equation with the regularized fractional derivative of an order with respect to the time variable, and a uniformly elliptic operator with variable coefficients acting in the spatial variables. Such equations describe diffusion on inhomogeneous fractals. A fundamental solution of the Cauchy problem is constructed and investigated.
引用
@article{arxiv.math/0310271,
title = {Cauchy Problem for Fractional Diffusion Equations},
author = {Samuil D. Eidelman and Anatoly N. Kochubei},
journal= {arXiv preprint arXiv:math/0310271},
year = {2012}
}
备注
Version 2 contains a correction (formula 4.14) as compared with the published text