Although Strichartz estimates have been widely applied for the nonlinear dispersive equations like Schr$\ddot{o}$dinger equation and wave equation in Besov spaces, it is rare in nonlinear kinetic type equations such as Vlasov-Poisson equation. In this paper, we are concerned about the dispersive estimates for the kinetic transport equation in Besov spaces, which could be applied to establish Strichartz estimates in Besov space and further may be exploited to investigate the solutions for Vlasov-Poisson equation and Boltzmann equation in Besov space.

中文翻译：

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Besov 空间中动力学输运方程的色散估计

尽管 Strichartz 估计已广泛应用于 Schr 等非线性色散方程$\ddot{o}$Besov空间中的dinger方程和波动方程，在Vlasov-Poisson方程等非线性动力学类型方程中很少见。在本文中，我们关注的是 Besov 空间中动力学输运方程的色散估计，该估计可用于建立 Besov 空间中的 Strichartz 估计，并可进一步用于研究 Besov 中 Vlasov-Poisson 方程和 Boltzmann 方程的解空间。