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

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Title: Generic Well-posedness for an Inverse Source Problem for a Multi-term Time-fractional Diffusion Equation
Authors: Li, Zhiyuan Browse this author
Cheng, Xing Browse this author
Liu, Yikan Browse this author →KAKEN DB
Keywords: multi-term time-fractional diffusion equation
inverse source problem
Fredholm alternative
Issue Date: Aug-2020
Publisher: Mathematical Society of the Republic of China
Journal Title: Taiwanese Journal of Mathematics
Volume: 24
Issue: 4
Start Page: 1005
End Page: 1020
Publisher DOI: 10.11650/tjm/191103
Abstract: 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.
Type: article
URI: http://hdl.handle.net/2115/79161
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

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