Stability for inverse source problems by Carleman estimates

In this article, we provide a modified argument for proving stability for inverse problems of determining spatially varying functions in evolution equations by Carleman estimates. Our method does not require any cut-off procedures and therefore simplifies the existing proofs. We establish the conditional stability for inverse source problems for a hyperbolic equation and a parabolic equation, and our method is widely applicable to various evolution equations. © 2020 IOP Publishing Ltd.

Authors
Huang X. 1 , Imanuvilov O.Y.2 , Yamamoto M. 1, 3, 4
Journal
Inverse Problems
Publisher
Institute of Physics Publishing
Number of issue
12
Language
English
Status
Published
Link
External link
DOI
10.1088/1361-6420/aba892
Number
125006
Volume
36
Year
2020
Organizations
  • 1 Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Meguro, Tokyo, 153-8914, Japan
  • 2 Department of Mathematics, Colorado State University, Fort Collins, CO 80523-1874, United States
  • 3 Honorary Member of Academy of Romanian Scientists, Splaiul Independentei Street No 54, Bucharest, 050094, Romania
  • 4 Peoples' Friendship University of Russia (RUDN University), 6Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Carleman estimate; Inverse source problem; Stability
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72533/
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