Carleman estimates for sub-Laplacians on Carnot groups

Abstract

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.

arXiv admin note: text overlap with arXiv:2011.12624, arXiv:1701.04080 by other authors