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Global Uniqueness for a Coefficient Inverse Problem for the Non- Stationary Transport Equation via Carleman Estimate.

机译：基于Carleman估计的非平稳输运方程系数反问题的全局唯一性。

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摘要

A coefficient inverse problem for the non-stationary single-speed transport equation for t-(0, T) with the lateral boundary data and initial condition at t=0 is considered. Global uniqueness result is obtained via the method of Carleman estimates.

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作者
Klibanov, M. V.; Pamyatnykh, S. E.;
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年度 2006
页码 1-22
总页数 22
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Coefficients; Boltzmann equation; Inverse problems;

机译：系数; Boltzmann方程;反问题;

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专利

1. 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
2. Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems [J] . Klibanov M.V. Journal of inverse and ill-posed problems . 2013,第4期

机译：Carleman估计的全局唯一性，稳定性和系数反问题的数值方法
3. Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate [J] . Michael V Klibanov Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data . 2004,第4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. Global and Local Properties of the Solution of Stochastic Partial Differential Equations with Measurable Coefficients. [D] . Wang, Zhenan. 2015

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7. Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate [O] . Michael V. Klibanov, Sergey E. Pamyatnykh 2013

机译：通过Carleman估计的非平稳传输方程的系数反问题的全局唯一性

Global Uniqueness for a Coefficient Inverse Problem for the Non- Stationary Transport Equation via Carleman Estimate.

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