# Global regularity estimates for the Boltzmann equation without cut-off

Abstract : We derive $C^\infty$ a priori estimates for solutions of the inhomogeneous Boltzmann equation without cut-off, conditional to point-wise bounds on their mass, energy and entropy densities. We also establish decay estimates for large velocities, for all derivatives of the solution.
Document type :
Preprints, Working Papers, ...

https://hal.archives-ouvertes.fr/hal-02304382
Contributor : Cyril Imbert <>
Submitted on : Thursday, October 3, 2019 - 11:10:51 AM
Last modification on : Friday, November 13, 2020 - 9:02:03 PM

### Identifiers

• HAL Id : hal-02304382, version 1
• ARXIV : 1909.12729

### Citation

Cyril Imbert, Luis Silvestre. Global regularity estimates for the Boltzmann equation without cut-off. 2019. ⟨hal-02304382⟩

Record views