Moving heat source reconstruction from the Cauchy boundary data.
Consistent algorithms marching along characteristics for the numerical solution of the Boltzmann equation.
Stability estimates for an inverse problem for the linear Boltzmann equation.
In this paper we consider the inverse problem of recovering the total extinction coefficient and the collision kernel for the time-dependent Boltzmann equation via boundary measurements. We obtain stability estimates for the extinction coefficient in terms of the albedo operator and also an identification result for the collision kernel.
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