Global regularity estimates for the Boltzmann equation without cut-off
Global regularity estimates for the Boltzmann equation without cut-off
复制标题
DOI：
10.1090/jams/986
复制
发表时间：
2019-09
影响因子：
3.9
通讯作者：
C. Imbert;L. Silvestre
中科院分区：
文献类型：
--
作者：
C. Imbert;L. Silvestre
我们推导出非齐次玻尔兹曼方程解的 $C^\infty$ 先验估计，没有截止，条件是其质量、能量和熵密度的逐点界限。我们还为解决方案的所有导数建立了大速度的衰减估计。
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.