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

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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