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.
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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 |
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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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