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
Abstract
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 |
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| 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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