Carleman estimates for sub-Laplacians on Carnot groups

2022/05/04 by Arya, Vedansh, Kumar, Dharmendra
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.02059

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.

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