Quantitative uniqueness for zero-order perturbations of generalized Baouendi-Grushin operators
Analysis of PDEs
2017-01-17 v3
Abstract
Based on a variant of the frequency function approach of Almgren, we establish an optimal bound on the vanishing order of solutions to stationary Schr\"odinger equations associated to a class of subelliptic equations with variable coefficients whose model is the so-called Baouendi-Grushin operator. Such bound provides a quantitative form of strong unique continuation that can be thought of as an analogue of the recent results of Bakri and Zhu for the standard Laplacian.
Keywords
Cite
@article{arxiv.1604.06000,
title = {Quantitative uniqueness for zero-order perturbations of generalized Baouendi-Grushin operators},
author = {Agnid Banerjee and Nicola Garofalo},
journal= {arXiv preprint arXiv:1604.06000},
year = {2017}
}
Comments
minor typos corrected