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arXiv · 1005.0447

The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential

Radjesvarane Alexandre·Y. Morimoto·Seiji Ukai·Chao-Jiang Xu·Tong Yang
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Abstract

As a continuation of our series works on the Boltzmann equation without angular cutoff assumption, in this part, the global existence of solution to the Cauchy problem in the whole space is proved in some suitable weighted Sobolev spaces for hard potential when the solution is a small perturbation of a global equilibrium.

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Radjesvarane Alexandre, Y. Morimoto, Seiji Ukai, Chao-Jiang Xu, Tong Yang. 2010-05-04. The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential. https://arxiv.org/abs/1005.0447

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