Intersection bounds for nodal sets of planar Neumann eigenfunctions with interior analytic curves

DOI10.4310/jdg/1427202763zbMath1321.58030arXiv1211.3395OpenAlexW2962953818WikidataQ115168013 ScholiaQ115168013MaRDI QIDQ2345385

Layan El Hajj, John A. Toth

Publication date: 22 May 2015

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3395

zbMATH Keywords

quantum ergodicitynodal sets

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (6)

Nodal sets of Schrödinger eigenfunctions in forbidden regions ⋮ Lower bounds for eigenfunction restrictions in lacunary regions ⋮ Nodal intersections and geometric control ⋮ Restriction of 3D arithmetic Laplace eigenfunctions to a plane ⋮ Nodal intersections for arithmetic random waves against a surface ⋮ Nodal intersections and \(L^p\) restriction theorems on the torus

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