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arXiv:1806.01692 [math.AP]AbstractReferencesReviewsResources

Global existence for the Boltzmann equation in $L^r_v L^\infty_t L^\infty_x$ spaces

Koya Nishimura

Published 2018-06-05Version 1

We study the Boltzmann equation near a global Maxwellian. We prove the global existence of a unique mild solution with initial data which belong to the $L^r_v L^\infty_t L^\infty_x $ spaces where $r \in (1,\infty]$ by using the excess conservation laws and entropy inequality introduced in [5].

Comments: 16 pages
Categories: math.AP
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