Reconstruction of the collision kernel in the nonlinear Boltzmann equation

RY Lai, G Uhlmann, Y Yang - SIAM Journal on Mathematical Analysis, 2021 - SIAM
We consider an inverse problem for the Boltzmann equation with nonlinear collision
operator in dimensions n≧2. We show that the kinetic collision kernel can be uniquely …

Parameter reconstruction for general transport equation

RY Lai, Q Li - SIAM Journal on Mathematical Analysis, 2020 - SIAM
We consider the inverse problem for the general transport equation with external field,
source term, and absorption coefficient. We show that the source and the absorption …

Inverse boundary problem for the two photon absorption transport equation

P Stefanov, Y Zhong - SIAM Journal on Mathematical Analysis, 2022 - SIAM
We study the inverse boundary problem for the nonlinear two photon absorption radiative
transport equation. We show that the absorption coefficients and the scattering coefficient …

Inverse problems for time-dependent nonlinear transport equations

RY Lai, H Zhou - arXiv preprint arXiv:2410.00369, 2024 - arxiv.org
In this work, we investigate inverse problems of recovering the time-dependent coefficient in
the nonlinear transport equation in both cases: two-dimensional Riemannian manifolds and …

Recovery of coefficients in semilinear transport equations

RY Lai, G Uhlmann, H Zhou - Archive for Rational Mechanics and Analysis, 2024 - Springer
We consider the inverse problem for time-dependent semilinear transport equations. We
show that time-independent coefficients of both the linear (absorption or scattering …

An inverse radiative transfer in refractive media equipped with a magnetic field

YM Assylbekov, Y Yang - The Journal of Geometric Analysis, 2015 - Springer
We study the reconstruction of the attenuation and absorption coefficients in a stationary
linear transport equation from knowledge of the albedo operator in dimension n ≥ 3 n≥ 3 …

QUANTITATIVE PHOTOACOUSTIC TOMOGRAPHY WITH VARIABLE INDEX OF REFRACTION.

L Patrolia - Inverse Problems & Imaging, 2013 - search.ebscohost.com
Photoacoustic tomography is a rapidly developing medical imaging technique that combines
optical and ultrasound imaging to exploit the high contrast and high resolution of the …

The Radiative Transfer Equation in Photoacoustic Imaging

L Patrolia - 2013 - digital.lib.washington.edu
Photoacoustic tomography is a rapidly developing medical imaging technique that combines
optical and ultrasound imaging to exploit the high contrast and high resolution of the …

[引用][C] y assylbekov@ yahoo. com

YM ASSYLBEKOV