Abstract
Cercignani, Greenberg, and Zweifel proved the existence and uniqueness of solutions of the Boltzmann equation on a toroidal lattice under the assumption that the collision kernel is bounded. We give an alternative, considerably simpler, proof which is based on a fixed point argument.
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Spohn, H. Boltzmann equation on a lattice: Existence and uniqueness of solutions. J Stat Phys 20, 463–470 (1979). https://doi.org/10.1007/BF01011782
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DOI: https://doi.org/10.1007/BF01011782