Carleman estimates for sub-Laplacians on Carnot groups

被引：0
作者：
Vedansh Arya
Dharmendra Kumar
机构：
[1] University of Jyväskylä,Department of Mathematics and Statistics
[2] Indian Institute of Science,Department of Mathematics
来源：
Analysis and Mathematical Physics | 2023年 / 13卷
关键词：
Carleman estimate; Carnot groups; Unique continuation; 35H20; 35A23; 35B60;
D O I：
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学科分类号：
摘要：
In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb G$$\end{document} 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.
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