In this paper we prove the global in time existence and uniqueness of solutions of the Boltzmann equation for Bose-Einstein particles for hard potentials for bounded anisotropic initial data with very high temperature condition. The main technique we used is the multi-step iterations of the collisional gain operator, which together with the global well-posedness of an intermediate equation enables us to prove the main result of the paper.
Global existence for the Boltzmann equation in $L^r_v L^\infty_t L^\infty_x$ spaces
The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential
Global existence and full regularity of the Boltzmann equation without angular cutoff
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