Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit
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Publication:5197542
DOI10.1137/18M1222582zbMath1431.65162arXiv1809.01790OpenAlexW2973730007MaRDI QIDQ5197542
Publication date: 18 September 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.01790
Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Radiative transfer in astronomy and astrophysics (85A25) PDEs in connection with astronomy and astrophysics (35Q85)
Related Items (13)
Unique Reconstruction of the Heat-Reflection Indices at Solid Interfaces ⋮ Inverse Boundary Problem for the Two Photon Absorption Transport Equation ⋮ The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability ⋮ On instability mechanisms for inverse problems ⋮ Parameter Reconstruction for General Transport Equation ⋮ Refined instability estimates for some inverse problems ⋮ Separability of the Kernel Function in an Integral Formulation for the Anisotropic Radiative Transfer Equation ⋮ Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling ⋮ Inverse transport problem in fluorescence ultrasound modulated optical tomography with angularly averaged measurements ⋮ Reconstruction of the Collision Kernel in the Nonlinear Boltzmann Equation ⋮ Unique Determination of Absorption Coefficients in a Semilinear Transport Equation ⋮ Applications of kinetic tools to inverse transport problems ⋮ Optimality of Increasing Stability for an Inverse Boundary Value Problem
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