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On Stationary and Time‐Dependent Solutions to the Linear Boltzmann Equation

This paper considers the stationary linear, space‐dependent Boltzmann equation in the case of an interior source term together with an absorption term and general boundary reflections. First, mild L1‐solutions are constructed as limits of iterate functions. Then an H‐theorem on a relative entropy function of two different solutions is studied. Finally a generalized inequality (of Dorrozes‐Guiraud type) for the boundary terms in the H‐theorem is proved.