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math.AP2019
Global regularity estimates for the Boltzmann equation without cut-off
Cyril Imbert, Luis Silvestre
We derive a priori estimates for solutions of the inhomogeneous Boltzmann equation without cut-off, conditional to point-wise bounds on their mass, energy and entropy de…
math.AP2019
Coercivity estimates for integro-differential operators
Jamil Chaker, Luis Silvestre
We provide a general condition on the kernel of an integro-differential operator so that its associated quadratic form satisfies a coercivity estimate with respect to the -sem…
math.AP2019
Gaussian lower bounds for the Boltzmann equation without cut-off
Cyril Imbert, Clément Mouhot, Luis Silvestre
The study of positivity of solutions to the Boltzmann equation goes back to Carleman (1933), and the initial argument of Carleman was developed byPulvirenti-Wennberg (1997), the se…