# American Institute of Mathematical Sciences

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September  2009, 8(5): 1647-1668. doi: 10.3934/cpaa.2009.8.1647

## Global classical solutions to the Boltzmann equation with external force

 1 School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received  May 2008 Revised  January 2009 Published  April 2009

In this paper we prove the global existence and uniqueness of classical solution to the Boltzmann equation with external force near a stationary solution for hard potentials. The optimal time decay to the stationary solution is also obtained.
Citation: Hongjun Yu. Global classical solutions to the Boltzmann equation with external force. Communications on Pure & Applied Analysis, 2009, 8 (5) : 1647-1668. doi: 10.3934/cpaa.2009.8.1647
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