Angular Average of Time-Harmonic Transport Solutions
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Publication:3104544
DOI10.1080/03605302.2010.540608zbMath1231.35139OpenAlexW2013206629MaRDI QIDQ3104544
Alexandre Jollivet, Guillaume Bal, François Monard, Ian Langmore
Publication date: 14 December 2011
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605302.2010.540608
stationary phaseaveraged measurementsinverse transport problemoptimal tomographyforward transport theorytime-harmonic regime
Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Boltzmann equations (35Q20)
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Inverse Boundary Problem for the Two Photon Absorption Transport Equation ⋮ Generalized stability estimates in inverse transport theory ⋮ Stability of stationary inverse transport equation in diffusion scaling ⋮ Stability of Inverse Transport Equation in Diffusion Scaling and Fokker--Planck Limit ⋮ Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling ⋮ Applications of kinetic tools to inverse transport problems ⋮ Reconstructing the Thermal Phonon Transmission Coefficient at Solid Interfaces in the Phonon Transport Equation
Cites Work
- Inverse transport with isotropic sources and angularly averaged measurements
- Stability estimates in stationary inverse transport
- Inverse transport theory and applications
- Uniqueness and non-uniqueness in inverse radiative transfer
- Solution of three dimensional inverse transport problems
- Optical tomography in medical imaging
- Reconstruction of the coefficients of the stationary transport equation from boundary measurements
- Inverse scattering and inverse boundary value problems for the linear boltzmann equation
- Time-dependent angularly averaged inverse transport
- Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
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