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Global Solutions to the Cauchy Problem for the Relativistic Boltzmann Equation with Near–Vacuum Data

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Abstract

The Cauchy Problem for the relativistic Boltzmann equation is studied with small (i.e., near–vacuum) data. For an appropriate class of scattering cross sections, global ``mild'' solutions are obtained.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, Bloomington, IN, 47405–7106, USA

    Robert T. Glassey

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  1. Robert T. Glassey
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Correspondence to Robert T. Glassey.

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Communicated by P. Constantin

Supported in part by NSF DMS 0204227

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Glassey, R. Global Solutions to the Cauchy Problem for the Relativistic Boltzmann Equation with Near–Vacuum Data. Commun. Math. Phys. 264, 705–724 (2006). https://doi.org/10.1007/s00220-006-1522-y

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