arXiv:2205.02059 Abstract | arXiv Analytics

arXiv:2205.02059 [math.AP]Abstract References Reviews Resources

Carleman estimates for sub-Laplacians on Carnot groups

Published 2022-05-04Version 1

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.

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

Categories: math.AP

Keywords: carnot group, carleman estimate, sub-laplacian, sharp vanishing order estimate, singular weights

Related articles: Most relevant | Search more

arXiv:1305.5300 [math.AP] (Published 2013-05-23)

Removable sets for homogeneous linear PDE in Carnot groups

Vasilis Chousionis, Jeremy T. Tyson

arXiv:1310.1317 [math.AP] (Published 2013-10-04)

$p$-Laplace equations with singular weights

Kanishka Perera, Inbo Sim

arXiv:2407.17096 [math.AP] (Published 2024-07-24)

Gaussian Poincaré inequalities on the half-space with singular weights