Inverse Moving Source Problem for Fractional Diffusion(-Wave) Equations: Determination of Orbits


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Title:	Inverse Moving Source Problem for Fractional Diffusion(-Wave) Equations: Determination of Orbits
Authors:	Hu, Guanghui Browse this author
	Liu, Yikan Browse this author
	Yamamoto, Masahiro Browse this author
Keywords:	Inverse moving source problem
	Fractional diffusion(-wave) equation
	Fractional Duhamel’s principle
	Lipschitz stability
	Uniqueness
Issue Date:	7-Feb-2020
Publisher:	Springer
Journal Title:	Inverse Problems and Related Topics. ICIP2 2018. Springer Proceedings in Mathematics & Statistics
Volume:	310
Start Page:	81
End Page:	100
Publisher DOI:	10.1007/978-981-15-1592-7_5
Abstract:	This paper is concerned with the inverse problem on determining the orbit of a moving source in fractional diffusion(-wave) equations either in a connected bounded domain of Rd or in the whole space Rd . Based on a newly established fractional Duhamel’s principle, we derive a Lipschitz stability estimate in the case of a localized moving source by the observation data at d interior points. The uniqueness for the general non-localized moving source is verified with additional data of more interior observations.
Publisher URI:	https://arxiv.org/abs/1906.12014
Type:	article (author version)
URI:	http://hdl.handle.net/2115/76704
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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