Hausdorff measure of nodal sets of analytic Steklov eigenfunctions

DOI10.4310/MRL.2015.v22.n6.a15zbMath1344.53034OpenAlexW2401036414WikidataQ126129402 ScholiaQ126129402MaRDI QIDQ530631

Steven Zelditch

Publication date: 10 August 2016

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2015.v22.n6.a15

zbMATH Keywords

analytic boundaryDirichlet-to-Neumann operatoranalytic Riemannian manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (16)

Upper bounds of nodal sets for eigenfunctions of eigenvalue problems ⋮ Doubling Property and Vanishing Order of Steklov Eigenfunctions ⋮ Classification of singular sets of solutions to elliptic equations ⋮ On quantitative unique continuation properties of fractional Schrödinger equations: Doubling, vanishing order and nodal domain estimates ⋮ Boundary doubling inequality and nodal sets of Robin and Neumann eigenfunctions ⋮ Upper bounds on the size of nodal sets for Gevrey and quasianalytic Riemannian manifolds ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Geometry and interior nodal sets of Steklov eigenfunctions ⋮ Pointwise bounds for Steklov eigenfunctions ⋮ Nodal intersections and geometric control ⋮ Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces ⋮ Doubling inequalities and critical sets of Dirichlet eigenfunctions ⋮ Lower bounds for interior nodal sets of Steklov eigenfunctions ⋮ Domains without dense Steklov nodal sets ⋮ Polynomial upper bound on interior Steklov nodal sets ⋮ On quantitative uniqueness for parabolic equations

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