REDUCTION OF DIMENSION AS A CONSEQUENCE OF NORM‐RESOLVENT CONVERGENCE AND APPLICATIONS

DOI10.1112/S0025579318000013zbMath1394.81124arXiv1701.08819OpenAlexW2584253948WikidataQ130041145 ScholiaQ130041145MaRDI QIDQ3176202

Petr Siegl, Julien Royer, Nicolas Raymond, David Krejčiřík

Publication date: 19 July 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08819

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (8)

A note on the spectrum of the Neumann Laplacian in thin periodic waveguides ⋮ Spectral analysis on ruled surfaces with combined Dirichlet and Neumann boundary conditions ⋮ On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set ⋮ On the spectral properties of the Bloch-Torrey equation in infinite periodically perforated domains ⋮ Quantum strips in higher dimensions ⋮ On the eigenvalues of the Robin Laplacian with a complex parameter ⋮ Spectral properties of relativistic quantum waveguides ⋮ Spectral and evolution analysis of composite elastic plates with high contrast

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