Hrmander向量场上散度型抛物方程弱解的Orlicz估计

Orlicz Estimate of Weak Solutions to Divergence Parabolic Equation in Hrmander's Vector fields

设X=(X_0,X_1,…,X_q)是R^n中满足Hrmander条件的一组光滑向量场,本文主要对向量场上的散度型抛物方程(1)的弱解建立了Orlicz估计。

Let X=（X0,X1,…,Xq） be a family of real smooth vector fields satisfying Hormander＇ s condition.The aim of this paper is to establish Orlicz estimate of weak solutions to divergence parabolic equation（1） in vector fields.