Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions

zbMath1340.35239arXiv1311.2386MaRDI QIDQ2925951

David Krejčiřík

Publication date: 29 October 2014

Full work available at URL: https://arxiv.org/abs/1311.2386

zbMATH Keywords

dimension reductioneigenvalue asymptoticsDirichlet boundary conditionNeumann boundary conditionmean curvaturequantum waveguidesLaplacian in tubes

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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