论文标题
持有者的持有人的动力学fokker-planck方程直至边界
Holder estimates for kinetic Fokker-Planck equations up to the boundary
论文作者
论文摘要
我们获得了具有粗糙系数的动力学福克 - 普兰克方程的局部持有人的连续性估计，并具有规定的涌入边界条件。我们的结果扩展了一些最新的发展，这些发展将De Giorgi方法纳入动力学fokker-Planck方程。我们还获得了边界进入部分附近的高阶渐近估计。特别是，当方程的边界条件为零且没有源项时，我们证明该解决方案在边界的传入部分以无限顺序消失。
We obtain local Holder continuity estimates up to the boundary for a kinetic Fokker-Planck equation with rough coefficients, with the prescribed influx boundary condition. Our result extends some recent developments that incorporate De Giorgi methods to kinetic Fokker-Planck equations. We also obtain higher order asymptotic estimates near the incoming part of the boundary. In particular, when the equation has a zero boundary conditions and no source term, we prove that the solution vanishes at infinite order on the incoming part of the boundary.
