Carleman estimates for sub-Laplacians on Carnot groups

Autor: Arya, Vedansh, Kumar, Dharmendra
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: arXiv admin note: text overlap with arXiv:2011.12624, arXiv:1701.04080 by other authors
Databáze: arXiv