Inverse Transport and Diffusion Problems in Photoacoustic Imaging with Nonlinear Absorption
Ru-Yu Lai, Kui Ren, Ting Zhou
Source abstract
Motivated by applications in imaging nonlinear optical absorption by photoacoustic tomography, we study in this work inverse coefficient problems for a semilinear radiative transport equation and its diffusion approximation with internal data that are functionals of the coefficients and the solutions to the equations. Based on the techniques of first- and second-order linearization, we derive uniqueness and stability results for the inverse problems. For uncertainty quantification purposes, we also establish the stability of the reconstruction of the absorption coefficients with respect to the change in the scattering coefficient.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.