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Schlagwörter:
General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP,
Zusammenfassung:
In this paper, we study spatially homogeneous solutions of the Boltzmann
equation in special relativity and in Robertson-Walker spacetimes. We obtain an
analogue of the Povzner inequality in the relativistic case and use it to prove
global existence theorems. We show that global solutions exist for a certain
class of collision cross sections of the hard potential type in Minkowski space
and in spatially flat Robertson-Walker spacetimes.
