  Motivated by applications in quantitative photoacoustic imaging, we study
inverse problems to a semilinear radiative transport equation (RTE) where we
intend to reconstruct absorption coefficients in the equation from single and
multiple internal data sets. We derive uniqueness and stability results for the
inverse transport problem in the absence of scattering (in which case we also
derive some explicit reconstruction methods) and in the presence of known
scattering.
