Nodal domains in the square---the Neumann case
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Publication:2801888
zbMath1342.35198arXiv1410.6702MaRDI QIDQ2801888
Bernard Helffer, Mikael Persson Sundqvist
Publication date: 22 April 2016
Full work available at URL: https://arxiv.org/abs/1410.6702
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Asymptotic distributions of eigenvalues in context of PDEs (35P20)
Related Items (10)
Courant-sharp eigenvalues of Neumann 2-rep-tiles ⋮ Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle ⋮ Courant-sharp Robin eigenvalues for the square: the case with small Robin parameter ⋮ Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders ⋮ A. Stern's analysis of the nodal sets of some families of spherical harmonics revisited ⋮ Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip ⋮ Courant-sharp eigenvalues of the three-dimensional square torus ⋮ Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains application to the extended Courant property ⋮ Courant-sharp Robin eigenvalues for the square and other planar domains ⋮ Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter
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