Stability estimates in stationary inverse transport

We study the stability of the reconstruction of the scattering and absorption coefficients in a stationary linear transport equation from knowledge of the full albedo operator in dimension n ≥ 3. The albedo operator is defined as the mapping from the incoming boundary conditions to the outgoing transport solution at the boundary of a compact and convex domain. The uniqueness of the reconstruction was proved in [3, 4] and partial stability estimates were obtained in [13] for spatially independent scattering coefficients. We generalize these results and prove an L1-stability estimate for spatially dependent scattering coefficients.