Asymptotic behavior of eigenvalues of the Laplace operator in infinite cylinders perturbed by transverse extensions

DOI10.1134/S0001434607030029zbMath1136.35057MaRDI QIDQ2473705

V. V. Grushin

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

eigenvalueasymptoticssmall parameterDirichlet conditionsLaplace operatortubeinfinite cylinderquantum waveguidelocalized perturbations

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05)

Related Items (2)

On local perturbations of waveguides ⋮ Asymptotic behavior of the eigenvalues of the Schrödinger operator in thin closed tubes

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