Measure upper bounds for nodal sets of eigenfunctions of the bi‐harmonic operator
From MaRDI portal
Publication:6134471
DOI10.1112/jlms.12550zbMath1522.35199arXiv1709.00153OpenAlexW4212887834MaRDI QIDQ6134471
Publication date: 22 August 2023
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.00153
General topics in linear spectral theory for PDEs (35P05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Eigenvalue problems for linear operators (47A75) Higher-order elliptic equations (35J30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nodal sets for solutions of elliptic equations
- Lower bounds for nodal sets of eigenfunctions
- Nodal sets of eigenfunctions on Riemannian manifolds
- Nodal sets of eigenfunctions on Riemann surfaces
- Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure
- Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture
- Nodal volumes for eigenfunctions of analytic regular elliptic problems
- Measure estimates of nodal sets of bi-harmonic functions
- Lower bounds on the Hausdorff measure of nodal sets
- Nodal sets of solutions of elliptic and parabolic equations
- Nodal Sets for Eigenfunctions of the Laplacian On Surfaces
- Unique continuation for elliptic operators: A geometric-variational approach
- Seminar on Differential Geometry. (AM-102)
- Singular Sets of Higher Order Elliptic Equations
- Nodal Sets of Laplace Eigenfunctions: Estimates of the Hausdorff Measure in Dimensions Two and Three
- Schauder estimates for elliptic operators with applications to nodal sets.
This page was built for publication: Measure upper bounds for nodal sets of eigenfunctions of the bi‐harmonic operator
