论文标题
关于与统一超级设置问题有关的新型不平等现象
On a new type of Inequality related to the Uniform Sublevel Set Problem
论文作者
论文摘要
最近，斯坦纳伯格（Steinerberger）证明，拉普拉斯（Laplacian）是与标准统一统一的损失套件不等式的对立面的统一不等式，该套件众所周知，这因拉普拉斯（Laplacian）而失败。在本说明中，我们给出了此结果的基本证明，该证明突出了一个步骤，例如，我们表明不平等也适用于热运算符。我们提出一些自然出现的问题。
Recently, Steinerberger proved a uniform inequality for the Laplacian serving as a counterpoint to the standard uniform sublevel set inequality which is known to fail for the Laplacian. In this note, we give an elementary proof of this result which highlights a step allowing for adaptations to other situations, for instance, we show that the inequality also holds for the heat operator. We formulate some naturally arising questions.
