论文标题
半线性传输方程中吸收系数的独特确定
Unique determination of absorption coefficients in a semilinear transport equation
论文作者
论文摘要
在定量光声成像中的应用中，我们研究了半线性辐射传输方程（RTE）的反问题，我们打算从单个和多个内部数据集中重建方程中的吸收系数。在没有散射的情况下，我们得出了逆运输问题的独特性和稳定性结果（在这种情况下，我们也得出了一些显式重建方法），并且在存在已知散射的情况下。
Motivated by applications in quantitative photoacoustic imaging, we study inverse problems to a semilinear radiative transport equation (RTE) where we intend to reconstruct absorption coefficients in the equation from single and multiple internal data sets. We derive uniqueness and stability results for the inverse transport problem in the absence of scattering (in which case we also derive some explicit reconstruction methods) and in the presence of known scattering.
