论文标题
Kolmogorov-Fokker-Planck运营商的基本解决方案，具有延时的可测量系数
Fundamental solutions for Kolmogorov-Fokker-Planck operators with time-depending measurable coefficients
论文作者
论文摘要
我们考虑了Lanconelli-Polidoro在[Rend。 SEM。垫。大学。政治。 Torino 52（1994）]，其中领先的系数$ a_ {ij} $而不是恒定，是t的有限可测量函数。我们为该操作员构建了一个明确的基本解决方案，研究其属性，显示了该功能与某些具有常数$ a_ {ij} $的模型运算符的基本解决方案之间的比较结果，并在初始数据的各种假设下显示了Cauchy问题的唯一解决性。
We consider a Kolmogorov-Fokker-Planck operator of the kind studied by Lanconelli-Polidoro in [Rend. Sem. Mat. Univ. Politec. Torino 52 (1994)], where the leading coefficients $a_{ij}$, instead of being constant, are bounded measurable functions of t. We construct an explicit fundamental solution for this operator, study its property, show a comparison result between this function and the fundamental solution of some model operators with constant $a_{ij}$, and show the unique solvability of the Cauchy problem under various assumptions on the initial datum.
