# Analytic smoothing effect of Cauchy problem for a class of Kolmogorov-Fokker-Planck equations

**Authors:** Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu  
**arXiv:** [2309.11699](https://arxiv.org/abs/2309.11699)  
**Date:** 2023-09-21  
**Summary page:** https://www.summarizepaper.com/fr/arxiv-id/2309.11699v1/

## Abstract

We study the Cauchy problem of the Kolmogorov-Fokker-Planck equations and show that the solution enjoys an analytic smoothing effect with L2 initial datum for positive time.