Sums of Laplace eigenvalues: Rotations and tight frames in higher dimensions

DOI10.1063/1.3635379zbMath1272.35077arXiv1101.0263OpenAlexW3099511240MaRDI QIDQ2849791

Richard Snyder Laugesen, Bartłomiej A. Siudeja

Publication date: 24 September 2013

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

Full work available at URL: https://arxiv.org/abs/1101.0263

zbMATH Keywords

Dirichlet, Robin, and Neumann eigenvalues

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Spectral theory and eigenvalue problems for partial differential equations (35P99) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (8)

An isoperimetric inequality for an integral operator on flat tori ⋮ Inequalities for the fundamental Robin eigenvalue for the Laplacian on N-dimensional rectangular parallelepipeds ⋮ Sums of Laplace eigenvalues-rotationally symmetric maximizers in the plane ⋮ Sums of magnetic eigenvalues are maximal on rotationally symmetric domains ⋮ Maximization of Laplace−Beltrami eigenvalues on closed Riemannian surfaces ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Generalized tight \(p\)-frames and spectral bounds for Laplace-like operators ⋮ Minimizing capacity among linear images of rotationally invariant conductors

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