Eigenfunction asymptotics and spectral rigidity of the ellipse
From MaRDI portal
Publication:2120161
DOI10.4171/JST/393zbMath1486.35465arXiv2006.16685OpenAlexW3040453921MaRDI QIDQ2120161
Publication date: 31 March 2022
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16685
Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Cites Work
- An integrable deformation of an ellipse of small eccentricity is an ellipse
- An inverse spectral result for elliptical regions of \(\mathbb{R}^2\)
- Asymptotic solution of eigenvalue problems
- Eigenmodes and eigenfrequencies of vibrating elliptic membranes: a Klein oscillation theorem and numerical calculations
- Elliptic quantum billiard
- \(L^p\) norms of eigenfunctions in the completely integrable case
- Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues
- On the local Birkhoff conjecture for convex billiards
- Perturbation theory for linear operators.
- Quantum ergodicity of boundary values of eigenfunctions
- \(C^\infty\) spectral rigidity of the ellipse
- Erratum to: ``Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
- Quantum ergodic restriction for Cauchy data: interior QUE and restricted QUE
- Robin spectral rigidity of the ellipse
- Completeness of boundary traces of eigenfunctions
- The Frequency Map for Billiards inside Ellipsoids
- The rotation number of some transformation related to billiards in an ellipse
- Semiclassical transition from an elliptical to an oval billiard
- Liouville billiard tables and an inverse spectral result
- Behaviour of boundary functions for quantum billiards
- Separatrices splitting for Birkhoff’s billiard in symmetric convex domain, closed to an ellipse
This page was built for publication: Eigenfunction asymptotics and spectral rigidity of the ellipse
