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arXiv · 2002.09456

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

Jeffrey Galkowski·Steve Zelditch
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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.

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Jeffrey Galkowski, Steve Zelditch. 2020-02-21. Lower bounds for Cauchy data on curves in a negatively curved surface. https://arxiv.org/abs/2002.09456

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