Equidistribution of Neumann data mass on triangles

DOI10.1090/proc/13742zbMath1387.35162arXiv1701.02793OpenAlexW2586862069MaRDI QIDQ4592749

Hans Christianson

Publication date: 8 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02793

zbMATH Keywords

Neumann boundary dataDirichlet eigenvalue problemplanar triangular domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25)

Related Items (6)

At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022 ⋮ MATRIX-MFO tandem workshop/small collaboration: Rough wave equations. Abstracts from the MATRIX-MFO tandem workshop/small collaboration held September 12--18, 2021 (hybrid meeting) ⋮ Serrin-type theorems for triangles ⋮ Rellich-Christianson type identities for the Neumann data mass of Dirichlet eigenfunctions on polytopes ⋮ Asymptotic boundary observability for the wave equation on one side of a planar triangle ⋮ Quantitative bounds on impedance-to-impedance operators with applications to fast direct solvers for PDEs

Cites Work

• Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards
• Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds
• Ergodic properties of eigenfunctions for the Dirichlet problem
• Quantum ergodicity of boundary values of eigenfunctions
• Quantum ergodic restriction theorems: manifolds without boundary
• Quantum ergodic restriction for Cauchy data: interior QUE and restricted QUE
• Exterior Mass Estimates and L2-Restriction Bounds for Neumann Data Along Hypersurfaces

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