论文标题
Lipschitz通过热流改变变量
Lipschitz changes of variables via heat flow
论文作者
论文摘要
我们通过证明在高斯度量和某些扰动之间存在Lipschitz的变化来扩展咖啡雷利的收缩定理。我们的方法是基于Kim和Milman引起的论证，其中使用热流构建变量的变化。
We extend Caffarelli's contraction theorem, by proving that there exists a Lipschitz changes of variables between the Gaussian measure and certain perturbations of it. Our approach is based on an argument due to Kim and Milman, in which the changes of variables are constructed using a heat flow.
