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 …
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 …
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 …
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 …
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 …
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 …
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 …