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Lower bounds for Cauchy data on curves in a negatively curved surface

Galkowski, J; Zelditch, S; (2021) Lower bounds for Cauchy data on curves in a negatively curved surface. Israel Journal of Mathematics , 244 pp. 971-1000. 10.1007/s11856-021-2201-6. Green open access

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Abstract

We prove a uniform lower bound on Cauchy data on an arbitrary curve on a negatively curved surface using the Dyatlov-Jin(-Nonnenmacher) observability estimate on the global surface. In the process, we prove some further results about defect measures of restrictions of eigenfunctions to a hypersurface.

Type: Article
Title: Lower bounds for Cauchy data on curves in a negatively curved surface
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/s11856-021-2201-6
Publisher version: https://doi.org/10.1007/s11856-021-2201-6
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10110428
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