SIAM Journal on Mathematical Analysis, Volume 52, Issue 3, Page 2734-2758, January 2020.
We consider the inverse problem for the general transport equation with external field, source term, and absorption coefficient. We show that the source and the absorption coefficients can be uniquely reconstructed from the boundary measurement in a Lipschitz stable manner. Specifically, the uniqueness and stability are obtained by using the Carleman estimate, in which a special weight function is designed to pick up information on the desired parameter.

中文翻译：

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一般运输方程的参数重构

SIAM数学分析期刊，第52卷，第3期，第2734-2758页，2020年1月。
我们考虑具有外部场，源项和吸收系数的一般输运方程的反问题。我们表明，源和吸收系数可以从Lipschitz稳定方式的边界测量中唯一地重建。具体而言，通过使用Carleman估计获得唯一性和稳定性，其中设计了特殊的权重函数以获取有关所需参数的信息。