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.Supported by the National Aeronautics and Space Administration under Grant No. NGR 44-004-042.On leave from the University of Heidelberg.