An Inverse Radiative Transfer in Refractive Media Equipped with a Magnetic Field
An Inverse Radiative Transfer in Refractive Media Equipped with a Magnetic Field
复制标题
配备磁场的折射介质中的逆辐射传输
DOI：
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发表时间：
2014
影响因子：
1.1
通讯作者：
Yang Yang
中科院分区：
文献类型：
--
作者：
Yernat M Assylbekov;Yang Yang
We study the reconstruction of the attenuation and absorption coefficients in a stationary linear transport equation from knowledge of the albedo operator in dimension n≥3documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$nge 3$$end{document} on a Riemannian manifold in the presence of a magnetic field. We show that the direct boundary value problem is well posed under two types of subcritical conditions. We obtain uniqueness and non-uniqueness results of the reconstruction under some restrictions. Finally, stability estimates are also established.
We study the reconstruction of the attenuation and absorption coefficients in a stationary linear transport equation from knowledge of the albedo operator in dimension n≥3documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$nge 3$$end{document} on a Riemannian manifold in the presence of a magnetic field. We show that the direct boundary value problem is well posed under two types of subcritical conditions. We obtain uniqueness and non-uniqueness results of the reconstruction under some restrictions. Finally, stability estimates are also established.