Inverse problem for a free transport equation using Carleman estimates

Patricia Gaitan; Hadjer Ouzzane

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Inverse problem for a free transport equation using Carleman estimates

机译：使用Carleman估计的自由运输方程的反问题

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摘要

This paper is devoted to prove a stability result for an absorption coefficient for a free transport equation in a smooth domain Ω. The result is obtained using a global Carleman estimate with only one observation on a part of the boundary.

机译：本文致力于证明光滑域Ω中自由输运方程的吸收系数的稳定性结果。使用全局Carleman估计获得结果，仅对边界的一部分进行观察。

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来源
《Applicable Analysis》 |2014年第6期|共14页
作者
Patricia Gaitan; Hadjer Ouzzane;
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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Transport equation; Carleman estimates; Stability;

机译：输运方程;卡尔曼估计;稳定性;

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1. Inverse problem for a free transport equation using Carleman estimates [J] . Patricia Gaitan, Hadjer Ouzzane Applicable Analysis . 2014,第5a6期

机译：使用Carleman估计的自由运输方程的反问题
2. Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate [J] . Klibanov MV, Pamyatnykh SE Journal of Mathematical Analysis and Applications . 2008,第1期

机译：非平稳输运方程通过Carleman估计的系数逆问题的全局唯一性
3. Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates [J] . Kawamoto Atsushi Journal of inverse and ill-posed problems . 2018,第5期

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4. Carleman Estimates and Unique Continuation Property for Abstract Elliptic Equations [C] . Veli B. Shakhmurov International Conference of Numerical Analysis and Applied Mathematics . 2011

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5. Stability estimates for some ill-posed and inverse problems for the transport and hyperbolic equations [D] . Pamyatnykh, Sergey. 2006

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7. Inverse coefficient problems for a transport equation by local Carleman estimate [O] . P Cannarsa, G Floridia, F Gölgeleyen, 2019

机译：本地铭牌估计的运输方程的逆系数问题
8. Global Uniqueness for a Coefficient Inverse Problem for the Non- Stationary Transport Equation via Carleman Estimate. [R] . Klibanov, M. V., Pamyatnykh, S. E. 2006

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Inverse problem for a free transport equation using Carleman estimates

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