Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator

zbMath1375.81097arXiv1511.05529MaRDI QIDQ5355538

Timo Weidl, André Hänel

Publication date: 7 September 2017

Full work available at URL: https://arxiv.org/abs/1511.05529

zbMATH Keywords

spectral asymptoticsDirichlet Laplacianquantum waveguidesDirichlet to Neumann operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quantum dots, waveguides, ratchets, etc. (81Q37)

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