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

DOI10.1088/1751-8113/45/8/085209zbMath1248.35131arXiv1110.1521OpenAlexW2068767373WikidataQ62596104 ScholiaQ62596104MaRDI QIDQ3225306

Ram Band, Amit Aronovitch, David Fajman, Sven Gnutzmann

Publication date: 19 March 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1521

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph algorithms (graph-theoretic aspects) (05C85) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (7)

On exact Pleijel's constant for some domains ⋮ Courant-sharp eigenvalues of Neumann 2-rep-tiles ⋮ The nodal count {0,1,2,3,…} implies the graph is a tree ⋮ Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle ⋮ A nodal domain theorem for integrable billiards in two dimensions ⋮ Limit distribution of the nodal domain number for the right-isosceles triangle billiard ⋮ Exact eigenfunction amplitude distributions of integrable quantum billiards

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