Closed nodal surfaces for simply connected domains in higher dimensions

DOI10.1512/iumj.2013.62.4975zbMath1302.35268arXiv1009.1502OpenAlexW2963727896MaRDI QIDQ5409840

James Bernard Kennedy

Publication date: 15 April 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1502

zbMATH Keywords

eigenfunctionnodal surfaceDirichlet-Laplacian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

On the Nodal set of a second Dirichlet eigenfunction in a doubly connected domain ⋮ A toy Neumann analogue of the nodal line conjecture ⋮ The nodal line of the second eigenfunction of the Robin Laplacian in \(\mathbb R^2\) can be closed ⋮ A counterexample to Payne's nodal line conjecture with few holes ⋮ Nodal sets of thin curved layers ⋮ Optimal shapes for the first Dirichlet eigenvalue of the \(p\)-Laplacian and dihedral symmetry ⋮ On the multiplicity of the second eigenvalue of the Laplacian in non simply connected domains – with some numerics –

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