Galkowski, J;
Toth, JA;
(2023)
Lower bounds for Steklov eigenfunctions.
Pure and Applied Mathematics Quarterly
, 19
(4)
pp. 1873-1898.
10.4310/PAMQ.2023.v19.n4.a7.
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Abstract
Let (Ω,g) be a compact, analytic Riemannian manifold with analytic boundary ∂Ω=M. We give L2-lower bounds for Steklov eigenfunctions and their restrictions to interior hypersurfaces H⊂Ω∘ in a geometrically defined neighborhood of M. Our results are optimal in the entire geometric neighborhood and complement the results on eigenfunction upper bounds in the author's previous work.
| Type: | Article |
|---|---|
| Title: | Lower bounds for Steklov eigenfunctions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4310/PAMQ.2023.v19.n4.a7 |
| Publisher version: | https://dx.doi.org/10.4310/PAMQ.2023.v19.n4.a7 |
| 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-pp.ucl.ac.uk/id/eprint/10140864 |
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