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arXiv · 1604.06000

Quantitative uniqueness for zero-order perturbations of generalized Baouendi-Grushin operators

Agnid Banerjee·Nicola Garofalo
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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.

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Agnid Banerjee, Nicola Garofalo. 2016-04-20. Quantitative uniqueness for zero-order perturbations of generalized Baouendi-Grushin operators. https://arxiv.org/abs/1604.06000

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