论文标题
卡尔曼(Carleman
Carleman estimates for sub-Laplacians on Carnot groups
论文作者
论文摘要
在本说明中,我们建立了一个新的Carleman估计值,该估计值具有Carnot group $ \ Mathbb g $的次级拉普拉斯人,以实现以下(2.16)中(2.16)中的差异假设的功能。我们使用这样的估计值来得出用于固定schrödinger方程的解决方案的急剧消失顺序估算。
In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group $\mathbb G$ for functions satisfying the discrepancy assumption in (2.16) below. We use such an estimate to derive a sharp vanishing order estimate for solutions to stationary Schrödinger equations.