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math.SP2023
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer
Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen
We investigate the spectrum of a Laplace operator with mixed boundary conditions in an unbounded chamfered quarter of layer. This problem arises in the study of the spectrum of the…
math.SP2023
Spectrum of the Dirichlet Laplacian in a thin cubic lattice
Lucas Chesnel, Sergei A. Nazarov
We give a description of the lower part of the spectrum of the Dirichlet Laplacian in an unbounded 3D periodic lattice made of thin bars (of width ) which have a s…