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A trace theorem in kinetic theory. (English) Zbl 0744.45005
Summary: A mathematical assumption made in a recent paper by the second author [Arch. Ration. Mech. Anal. 116, No. 4, 307-315 (1991)] on the traces of the solutions of initial-boundary value problems for the Boltzmann equation is shown here to be true in the case of a domain whose boundary is a Lyapunov surface with purely diffusing boundary conditions.

MSC:
45K05 Integro-partial differential equations
82B40 Kinetic theory of gases in equilibrium statistical mechanics
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