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Abstract

For the linearized BOLTZMANN equation and a class of “modifications” of the linearized BOLTZMANN equation (including the usual BOLTZMANN equation) exponential-asymptotic stability of the total equilibrium is proved with respect to some boundary and existence assumptions which seem to be physically reasonable. Of course, this structural stability is important if BOLTZMANN's equation has to be considered under the influence of “perturbations” or if it is substituted by model equations.