Ornstein-Uhlenbeck型算子的长时间热核估计

Long time heat kernel estimate of Ornstein-Uhlenbeck type operator

利用Duhamel公式,给出一类带梯度扰动的Ornstein-Uhlenbeck型算子的长时间热核渐进估计,并研究其极限关于系数的连续依赖性.

Using the Duhamel formula,the long time asymptotic behavior of the heat kernel of a class of Ornstein-Uhlenbeck type operator with gradient perturbation is derived,the continuous dependence on the coefficients of the limit is studied.