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Courant-sharp eigenvalues of Neumann 2-rep-tiles (Q2397384)

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Language	Label	Description	Also known as
English	Courant-sharp eigenvalues of Neumann 2-rep-tiles	scientific article

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scholarly article

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Courant-sharp eigenvalues of Neumann 2-rep-tiles (English)

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Michael Bersudsky

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Letters in Mathematical Physics

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publication date

22 May 2017

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full work available at URL

https://arxiv.org/abs/1507.03410

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zbMATH Keywords

nodal domains

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Courant nodal theorem

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nodal set

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MaRDI profile type

MaRDI publication profile

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Ruled nodal surfaces of Laplace eigenfunctions and injectivity sets for the spherical mean Radon transform in \(\mathbb{R}^3\)

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Nodal domain theorems à la Courant

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Nodal domains of a non-separable problem—the right-angled isosceles triangle

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A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order

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The number of nodal domains on quantum graphs as a stability index of graph partitions

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The weak Pleijel theorem with geometric control

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Dirichlet Eigenfunctions of the Square Membrane: Courant’s Property, and A. Stern’s and Å. Pleijel’s Analyses

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Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle

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On the number of Courant-sharp Dirichlet eigenvalues

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Nodal count of graph eigenfunctions via magnetic perturbation

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Critical partitions and nodal deficiency of billiard eigenfunctions

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Stability of nodal structures in graph eigenfunctions and its relation to the nodal domain count

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Stability of eigenvalues of quantum graphs with respect to magnetic perturbation and the nodal count of the eigenfunctions

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10 Nodal and spectral minimal partitions – The state of the art in 2016 –

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On the nodal sets of toral eigenfunctions

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Replicating Figures in the Plane

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Nodal domains and spectral minimal partitions

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Dirichlet eigenfunctions on the cube, sharpening the Courant nodal inequality

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Spectral Minimal Partitions for a Thin Strip on a Cylinder or a Thin Annulus like Domain with Neumann Condition

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Minimal partitions for anisotropic tori

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On Spectral Minimal Partitions: the Case of the Sphere

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On nodal domains in Euclidean balls

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Nodal domains in the square---the Neumann case

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Courant-sharp eigenvalues of a two-dimensional torus

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Courant-sharp eigenvalues of the three-dimensional square torus

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On the number of nodal domains of spherical harmonics

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On 2-reptiles in the plane

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Remarks on courant's nodal line theorem

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Pleijel’s nodal domain theorem for free membranes

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Identifiers

zbMATH Open document ID

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10.1007/s11005-016-0926-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2397384

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