Carleman estimates for sub-Laplacians on Carnot groups
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 $$\mathbb G$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>G</mml:mi> </mml:math> 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 …