论文标题
凸面集中的熵流和功能不平等
Entropy flows and functional inequalities in convex sets
论文作者
论文摘要
我们重新审视熵方法，以证明新的尖锐的痕量对数Sobolev和尖锐的Gagliardo-Nirenberg-Sobolev在半空间上的不平等现象，重点是熵不平等本身，而不是实际流动，允许有些强大的自我证明。
We revisit entropy methods to prove new sharp trace logarithmic Sobolev and sharp Gagliardo-Nirenberg-Sobolev inequalities on the half space, with a focus on the entropy inequality itself and not the actual flow, allowing for somewhat robust and self-contained proofs.
