A strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations

被引：0
|
作者：
Hu, Li [1 ]
Li, Zhiyuan [1 ]
Yang, Xiaona [2 ]
机构：
[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 05期
基金：
中国国家自然科学基金;
关键词：
fractional diffusion equation; inverse source problem; nonlocal observation observation; uniqueness; Tikhonov regularization; COEFFICIENTS; DISPERSION; PRINCIPLE;
D O I：
10.1007/s10473-024-0523-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we consider the diffusion equation with multi-term time-fractional derivatives. We first derive, by a subordination principle for the solution, that the solution is positive when the initial value is non-negative. As an application, we prove the uniqueness of solution to an inverse problem of determination of the temporally varying source term by integral type information in a subdomain. Finally, several numerical experiments are presented to show the accuracy and efficiency of the algorithm.
引用
收藏
页码：2019 / 2040
页数：22
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