STABILITY ESTIMATES IN STATIONARY INVERSE TRANSPORT

被引:39
作者
Bal, Guillaume [1 ]
Jollivet, Alexandre [1 ]
机构
[1] Columbia Univ, Dept Appl Phys & Appl Math, New York, NY 10027 USA
基金
美国国家科学基金会;
关键词
Inverse transport problem; stability estimates; albedo operator;
D O I
10.3934/ipi.2008.2.427
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the stability of the reconstruction of the scattering and absorption coefficients in a stationary linear transport equation from knowledge of the full albedo operator in dimension n >= 3. The albedo operator is defined as the mapping from the incoming boundary conditions to the outgoing transport solution at the boundary of a compact and convex domain. The uniqueness of the reconstruction was proved in [2, 3] and partial stability estimates were obtained in [12] for spatially independent scattering coefficients. We generalize these results and prove an L-1-stability estimate for spatially dependent scattering coefficients.
引用
收藏
页码:427 / 454
页数:28
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