On the inverse spectral problem for Euclidean triangles

DOI10.1098/rspa.2010.0540zbMath1228.65217OpenAlexW2163065674MaRDI QIDQ3104818

Pedro R. S. Antunes, Pedro Freitas

Publication date: 17 December 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2010.0540

zbMATH Keywords

triangleinverse problemeigenvaluesDirichlet Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (6)

Any three eigenvalues do not determine a triangle ⋮ Sums of Laplace eigenvalues-rotationally symmetric maximizers in the plane ⋮ Sums of magnetic eigenvalues are maximal on rotationally symmetric domains ⋮ The fundamental gap of simplices ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ Spectral theory of partial differential equations

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