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

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 prove...

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Bibliographic Details
Published in:Taiwanese journal of mathematics 2020-08, Vol.24 (4), p.1005-1020
Main Authors: Li, Zhiyuan, Cheng, Xing, Liu, Yikan
Format: Article
Language:English
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Summary: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.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm/191103