Global Lipschitz Stability in an Inverse Problem for the Non-stationary Transport Equation

An inverse problem of determining the source term of the non-stationary transport equation was considered. The extra lateral boundary condition was chosen as the observation data. Based on a Carleman estimate on the non-stationary transport equation, a global Lipschitz stability for the inverse prob...

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Bibliographic Details
Published in东华大学学报（英文版） Vol. 30; no. 3; pp. 258 - 262
Main Author 马晨明 商亮宇
Format Journal Article
LanguageEnglish
Published College of Science, Donghua University, Shanghai 201620, China 2013
Subjects
常微分方程
微分方程
数学
数学分析
inverse problem
Carleman estimate
Lipschitz stability
transport equation
source term
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ISSN1672-5220

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Summary:An inverse problem of determining the source term of the non-stationary transport equation was considered. The extra lateral boundary condition was chosen as the observation data. Based on a Carleman estimate on the non-stationary transport equation, a global Lipschitz stability for the inverse problem was proved.
Bibliography:31-1920/N
transport equation; Carleman estimate; Lipschitz stability; source term; inverse problem
An inverse problem of determining the source term of the non-stationary transport equation was considered. The extra lateral boundary condition was chosen as the observation data. Based on a Carleman estimate on the non-stationary transport equation, a global Lipschitz stability for the inverse problem was proved.
MA Chen-ming , SHANG Liang-yu College of Science, Donghua University, Shanghai 201620, China
ISSN:1672-5220