Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction-Reference-Cited by-同舟云学术

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Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction

Published:2018-02-15 Issue:4 Volume:34 Page:045001
ISSN:0266-5611
Container-title:Inverse Problems
language:
Short-container-title:Inverse Problems

Author:

Yu Jie,Liu Yikan^ORCID,Yamamoto Masahiro^ORCID

Funder

Ministry of Education and Science of the Russian Federation

National Natural Science Foundation of China

Japan Society for the Promotion of Science

Publisher

IOP Publishing

Subject

Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science

Link

https://iopscience.iop.org/article/10.1088/1361-6420/aaa4a0/pdf

Reference34 articles.

1. A timelike Cauchy problem and an inverse problem for general hyperbolic equations

2. Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations

3. Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients

4. Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation

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1. Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds;Journal of Differential Equations;2023-11

2. Determination of source or initial values for acoustic equations with a time-fractional attenuation;Analysis and Applications;2023-07-27

3. Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data;Calcolo;2022-09-14

4. An inverse problem for Moore–Gibson–Thompson equation arising in high intensity ultrasound;Journal of Inverse and Ill-posed Problems;2022-04-28

5. Inverse problems for first-order hyperbolic equations with time-dependent coefficients;Journal of Differential Equations;2021-12

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