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On the Cauchy problem of the relativistic Boltzmann equation

It is shown that the relativistic Boltzmann equation has a local solution through an initial distribution function, if the scattering cross section is bounded for high energies and if the initial distribution falls off exponentially with the energy.

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1. Southwest Center for Advanced Studies, USA

   Klaus Bichteler

Supported by the National Aeronautics and Space Administration under Grant No. NGR 44-004-042.

On leave from the University of Heidelberg.

Bichteler, K. On the Cauchy problem of the relativistic Boltzmann equation. Commun.Math. Phys. 4, 352–364 (1967). https://doi.org/10.1007/BF01653649

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• Received: 29 January 1967

• Issue Date: October 1967

• DOI: https://doi.org/10.1007/BF01653649

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