Optical Tomography on Simple Riemannian Surfaces

DOI10.1080/03605300500258923zbMath1088.35069OpenAlexW2003332314MaRDI QIDQ5708015

Stephen R. McDowall

Publication date: 25 November 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300500258923

zbMATH Keywords

Riemannian metricBoltzmann equationtransport equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (5)

Inverse Boundary Problem for the Two Photon Absorption Transport Equation ⋮ Optical Tomography for Variable Refractive Index with Angularly Averaged Measurements ⋮ Uniqueness and non-uniqueness in inverse radiative transfer ⋮ An inverse problem for the relativistic Boltzmann equation ⋮ An inverse radiative transfer in refractive media equipped with a magnetic field

Cites Work

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• An inverse problem for the transport equation in the presence of a Riemannian metric
• The inverse problem of determining the source in the stationary transport equation on a Riemannian manifold
• Optical tomography in medical imaging
• An inverse boundary value problem in two-dimensional transport
• Stability estimates in problems of recovering the attenuation coefficient and the scattering indicatrix for the transport equation
• Inverse scattering and inverse boundary value problems for the linear boltzmann equation

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