Generic Well-posedness for an Inverse Source Problem for a Multi-term Time-fractional Diffusion Equation

被引：3
|
作者：
Li, Zhiyuan [1 ]
Cheng, Xing [2 ]
Liu, Yikan [3 ]
机构：
[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Shangdong, Peoples R China
[2] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
[3] Hokkaido Univ, Res Inst Elect Sci, Kita Ward, N127W7, Sapporo, Hokkaido 0600812, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2020年 / 24卷 / 04期
基金：
日本学术振兴会; 中国国家自然科学基金;
关键词：
multi-term time-fractional diffusion equation; inverse source problem; Fredholm alternative; DISPERSION;
D O I：
10.11650/tjm/191103
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with an inverse source problem for the multi-term time-fractional diffusion equation with a diffusion parameter by using final overdetermination. On the basis of analytic Fredholm theory, a generic well-posedness of the inverse source problem in some suitable function space is proved.
引用
收藏
页码：1005 / 1020
页数：16
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