Radjesvarane Alexandre, Y. Morimoto, Seiji Ukai, Chao-Jiang Xu, Tong Yang
Published 2010-05-04, updated 2010-10-27Version 3
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.
Global existence for the Boltzmann equation in $L^r_v L^\infty_t L^\infty_x$ spaces
Global existence and full regularity of the Boltzmann equation without angular cutoff
The global existence of solutions of the Boltzmann equation for Bose-Einstein particles with anisotropic initial data
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