论文标题
具有电磁场的Fokker-Planck操作员的加权和最大性低纤维化估计值
Weighted and maximally hypoelliptic estimates for the Fokker-Planck Operator with electromagnetic fields
论文作者
论文摘要
我们考虑一个具有电势和电磁场的Fokker-Planck运营商。我们建立了尖锐的加权和下层估计值,涉及对电势和电磁场的衍生物的控制。我们的证明依赖于本地化参数以及对换向因子的仔细计算。
We consider a Fokker-Planck operator with electric potential and electromagnetic fields. We establish the sharp weighted and subelliptic estimates, involving the control of the derivatives of electric potential and electromagnetic fields. Our proof relies on a localization argument as well as a careful calculation on commutators.