REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION

被引：124
|
作者：
McLean, William [1 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
ANZIAM JOURNAL | 2010年 / 52卷 / 02期
关键词：
fractional derivative; Laplace transform; Sobolev space; singular behaviour; NUMERICAL-SOLUTION; QUADRATURE;
D O I：
10.1017/S1446181111000617
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove estimates for the partial derivatives of the solution to a time-fractional diffusion equation posed over a bounded spatial domain. Such estimates are needed for the analysis of effective numerical methods, particularly since the solution is typically less regular than in the familiar case of classical diffusion.
引用
收藏
页码：123 / 138
页数：16
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