Abstract:We derive $C^\infty$ 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.

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中文翻译：

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没有截止的玻尔兹曼方程的全局正则估计

摘要：我们推导了$C^\infty$ 的先验估计，用于不带截止的非齐次玻尔兹曼方程的解，条件是它们的质量、能量和熵密度的逐点界限。我们还为解的所有导数建立了大速度的衰减估计。

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