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

页码：1005 / 1020

页数：16

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