Open AccessGlobal regularity estimates for the Boltzmann equation without cut-off
Author(s) -
Cyril Imbert,
Luís Silvestre
Publication year - 2021
Publication title -
journal of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.574
H-Index - 111
eISSN - 1088-6834
pISSN - 0894-0347
DOI - 10.1090/jams/986
Subject(s) - pointwise , mathematics , boltzmann equation , entropy (arrow of time) , algorithm , mathematical analysis , thermodynamics , physics
We derive C ∞ C^\infty a priori estimates for solutions of the inhomogeneous Boltzmann equation without cut-off, conditional to pointwise bounds on their mass, energy and entropy densities. We also establish decay estimates for large velocities, for all derivatives of the solution.