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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 $n\geq3$.
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 [2, 3]
and partial stability estimates were obtained in [12]
for spatially independent scattering coefficients. We generalize
these results and prove an $L^1$-stability estimate for spatially
dependent scattering coefficients.