Carleman estimates for sub-Laplacians on Carnot groups

Published 4 May 2022 in math.AP | (2205.02059v2)

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 Schr\"odinger equations.

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