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math.NA2014★ 13 cited
Spectral asymptotics of the Dirichlet Laplacian in a conical layer
Monique Dauge, Thomas Ourmières-Bonafos, Nicolas Raymond
The spectrum of the Dirichlet Laplacian on conical layers is analysed through two aspects: the infiniteness of the discrete eigenvalues and their expansions in the small aperture l…
math.NA2011★ 28 cited
Quantum waveguides with corners
Monique Dauge, Yvon Lafranche, Nicolas Raymond
The simplest modeling of planar quantum waveguides is the Dirichlet eigenproblem for the Laplace operator in unbounded open sets which are uniformly thin in one direction. Here we…