论文标题
高斯周长的非本地近似：伽马收敛和等值特性
A nonlocal approximation of the Gaussian perimeter: Gamma convergence and Isoperimetric properties
论文作者
论文摘要
我们研究高斯周长的非局部近似值，证明了伽马收敛到局部。出乎意料的是，与本地设置相反，当且仅当边界超平面通过原点时，半空间是一个体积约束的固定点。特别是，这意味着Ehrhard对称通常可以增加被认为是当地的高斯周长。
We study a non local approximation of the Gaussian perimeter, proving the Gamma convergence to the local one. Surprisingly, in contrast with the local setting, the halfspace turns out to be a volume constrained stationary point if and only if the boundary hyperplane passes through the origin. In particular, this implies that Ehrhard symmetrization can in general increase the considered non local Gaussian perimeter.
