Nodal intersections and geometric control
From MaRDI portal
Publication:2228093
DOI10.4310/jdg/1612975018zbMath1458.35289arXiv1708.05754OpenAlexW3130736769WikidataQ115164516 ScholiaQ115164516MaRDI QIDQ2228093
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nodal domains of Maass forms. I
- Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards
- Hausdorff measure of nodal sets of analytic Steklov eigenfunctions
- On the nodal sets of toral eigenfunctions
- Restriction of toral eigenfunctions to hypersurfaces and nodal sets
- Complex zeros of real ergodic eigenfunctions
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Counting nodal lines which touch the boundary of an analytic domain
- Nodal sets of eigenfunctions on Riemannian manifolds
- Distribution of energy levels of a quantum free particle on a surface of revolution
- Averages of eigenfunctions over hypersurfaces
- Intersection bounds for nodal sets of planar Neumann eigenfunctions with interior analytic curves
- Quantum ergodic restriction theorems: manifolds without boundary
- Intersection bounds for nodal sets of Laplace eigenfunctions
- Sharp bounds for the intersection of nodal lines with certain curves
- Ergodicity and intersections of nodal sets and geodesics on real analytic surfaces
- Quantum ergodic restriction for Cauchy data: interior QUE and restricted QUE
- On the analytic continuation of the Poisson kernel
- Gelfand transforms and Crofton formulas
- What is wrong with the Hausdorff measure in Finsler spaces
- TheL2behavior of eigenfunctions near the glancing set
- Nodal sets of solutions of elliptic and parabolic equations
- Microlocal defect measures
- Quantum ergodicity for restrictions to hypersurfaces
- Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds, I
- Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution
