Nodal intersections and geometric control

DOI10.4310/jdg/1612975018zbMath1458.35289arXiv1708.05754OpenAlexW3130736769WikidataQ115164516 ScholiaQ115164516MaRDI QIDQ2228093

John A. Toth, Steven Zelditch

Publication date: 16 February 2021

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

Full work available at URL: https://arxiv.org/abs/1708.05754

zbMATH Keywords

real analytic Riemannian manifoldLaplace eigenfunctions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items

Equidistribution of toral eigenfunctions along hypersurfaces ⋮ Lower bounds for eigenfunction restrictions in lacunary regions ⋮ Control from an interior hypersurface ⋮ Doubling inequalities and critical sets of Dirichlet eigenfunctions ⋮ Lower bounds for Cauchy data on curves in a negatively curved surface

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