Unique Determination of Absorption Coefficients in a Semilinear Transport Equation
DOI10.1137/20M1357706zbMath1473.35657arXiv2007.09516OpenAlexW3201467873MaRDI QIDQ3383044
Publication date: 23 September 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.09516
two-photon absorptionuniqueness and stabilityinverse transport problemquantitative photoacoustic imagingsemilinear radiative transport equation
Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Radiative transfer in astronomy and astrophysics (85A25) Inverse problems in thermodynamics and heat transfer (80A23) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Transport equations (35Q49)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Quantitative photoacoustic imaging in the radiative transport regime
- Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model
- Inverse transport calculations in optical imaging with subspace optimization algorithms
- Regularity of the moments of the solution of a transport equation
- Boundary value problems for transport equations
- Applied functional analysis. Main principles and their applications
- On a quasilinear inverse boundary value problem
- Stability estimates in stationary inverse transport
- An inverse source problem in optical molecular imaging
- Optical tomography in two dimensions
- A gradient-based method for quantitative photoacoustic tomography using the radiative transfer equation
- Inverse Transport with Isotropic Time-harmonic Sources
- Reconstructing absorption and scattering distributions in quantitative photoacoustic tomography
- Radiative transport theory for optical molecular imaging
- Inverse transport problems in quantitative PAT for molecular imaging
- Inverse transport theory and applications
- Uniqueness in the Schauder Fixed Point Theorem
- Elliptic Partial Differential Equations of Second Order
- Optical tomography in medical imaging
- Global uniqueness for a semilinear elliptic inverse problem
- An inverse boundary value problem in two-dimensional transport
- Inverse Transport and Acousto-Optic Imaging
- Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography
- Nonlinear Quantitative Photoacoustic Tomography with Two-Photon Absorption
- Stability of stationary inverse transport equation in diffusion scaling
- A hybrid reconstruction approach for absorption coefficient by fluorescence photoacoustic tomography
- Reconstruction of the coefficients of the stationary transport equation from boundary measurements
- Global Uniqueness for a Two-Dimensional Semilinear Elliptic Inverse Problem
- Inverse scattering and inverse boundary value problems for the linear boltzmann equation
- Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation
- Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit
- Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling
- Inverse transport problem in fluorescence ultrasound modulated optical tomography with angularly averaged measurements
- Applications of kinetic tools to inverse transport problems
- Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed
- Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
- Inverse transport theory of photoacoustics
- Stability for Some Inverse Problems for Transport Equations
