Carleman estimates for sub-Laplacians on Carnot groups
Analysis of PDEs
2022-05-06 v2
Abstract
In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group 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 Schr\"odinger equations.
Keywords
Cite
@article{arxiv.2205.02059,
title = {Carleman estimates for sub-Laplacians on Carnot groups},
author = {Vedansh Arya and Dharmendra Kumar},
journal= {arXiv preprint arXiv:2205.02059},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2011.12624, arXiv:1701.04080 by other authors