Nodal and other properties of the second eigenfunction of the Laplacian in the plane
From MaRDI portal
Publication:3367371
DOI10.1090/S0033-569X-05-00975-3zbMath1085.65106OpenAlexW1525564308MaRDI QIDQ3367371
Publication date: 24 January 2006
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0033-569x-05-00975-3
General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Cites Work
- Unnamed Item
- Unnamed Item
- Pseudointegrable systems in classical and quantum mechanics
- Differential equations for the magnetic confinement of a plasma
- On the second eigenfunctions of the Laplacian in \({\mathbb{R}}^ 2\)
- On the nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^ 2\)
- Eigenfunctions and nodal sets
- Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains
- Complex hyperspherical equations, nodal-partitioning, and first-excited-state theorems in \(\mathbb R^n\)
- On two conjectures in the fixed membrane eigenvalue problem
- On Periodic Billiard Trajectories in Obtuse Triangles
- On the reflection laws of second order differential equations in two independent variables
- The Eigenvalues of an Equilateral Triangle
- Schrödinger equation for convex plane polygons: A tiling method for the derivation of eigenvalues and eigenfunctions
- Nodal-surface conjectures for the convex quantum billiard
- Conical quantum billiard revisited
- Convex polyhedra quantum billiards in $\Bbb R^n$
- Mapping onto the plane of a class of concave billiards
This page was built for publication: Nodal and other properties of the second eigenfunction of the Laplacian in the plane