metadata only access

https://hdl.handle.net/2115/86491

Inverse moving source problem for time-fractional evolution equations : determination of profiles

英語

uniqueness

2021-07-12

IOP Publishing

Inverse problems

37(8)

084001

This article is concerned with two inverse problems on determining moving source profile functions in evolution equations with a derivative order alpha is an element of (0, 2] in time. In the first problem, the sources are supposed to move along known straight lines, and we suitably choose partial interior observation data in finite time. Reducing the problems to the determination of initial values, we prove the unique determination of one and two moving source profiles for 0 < alpha <= 1 and 1 < alpha <= 2, respectively. In the second problem, the orbits of moving sources are assumed to be known, and we consider the full lateral Cauchy data. At the cost of infinite observation time, we prove the unique determination of one moving source profile by constructing test functions.

学術雑誌論文

Accepted Manuscript

This is the Accepted Manuscript version of an article accepted for publication in [Inverse Problems]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at [10.1088/1361-6420/ac0c20].

0266-5611

1361-6420