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Carleman estimates for sub-Laplacians on Carnot groups

Arya, V and Kumar, D (2023) Carleman estimates for sub-Laplacians on Carnot groups. In: Analysis and Mathematical Physics, 13 (4).

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Official URL: https://doi.org/10.1007/s13324-023-00818-6


In this note, we establish a new Carleman estimate with singular weights for the sub-Laplacian on a Carnot group 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 Schrödinger equations.

Item Type: Journal Article
Publication: Analysis and Mathematical Physics
Publisher: Birkhauser
Additional Information: The copyright for this article belongs to the author.
Keywords: Carleman estimate; Carnot groups; Unique continuation
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 14 Jul 2023 06:16
Last Modified: 14 Jul 2023 06:16
URI: https://eprints.iisc.ac.in/id/eprint/82384

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