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Global existence of solutions for the relativistic Boltzmann equation on the flat Robertson-Walker space-time for arbitrarily large intial data

Research paper by Etienne Takou, Norbert Noutchegueme

Indexed on: 25 Mar '06Published on: 25 Mar '06Published in: General Relativity and Quantum Cosmology



Abstract

We prove a global result in time for the initial value problem for the relativistic Boltzmann equation on the flat Robertson-Walker sapace time, in the functional framework appropriate to the coupling with Einstein's equations. We had nowhere to restrict the size of the initial data which can hence be taken arbitrarily large.