论文标题
全球Schauder估计动力学Kolmogorov-Fokker-Planck方程
Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations
论文作者
论文摘要
我们介绍了所有变量中的全局Schauder类型估计值，并在动力学Hölder空间中为Kinetic Kolmogorov-Fokker-Planck（KFP）方程提供了动力学Hölder空间。领先的系数在$ x，v $变量中连续连续，并且仅在时间变量中可测量。我们的证据灵感来自Campanato对Schauder估计的方法，并且不依赖KFP操作员基本解决方案的估计。
We present global Schauder type estimates in all variables and unique solvability results in kinetic Hölder spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equations. The leading coefficients are Hölder continuous in the $x, v$ variables and are merely measurable in the temporal variable. Our proof is inspired by Campanato's approach to Schauder estimates and does not rely on the estimates of the fundamental solution of the KFP operator.
