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math.FA2020
Existence of discrete eigenvalues for the Dirichlet Laplacian in a two-dimensional twisted strip
Rafael T. Amorim, Alessandra A. Verri
We study the spectrum of the Dirichlet Laplacian operator in a two-dimensional twisted strip embedded in with . It is shown that a local twisting perturbati…
math.SP2020
Spectrum of the Dirichlet Laplacian in waveguides with parallel cross-sections
Alessandra A. Verri
Let be a waveguide which is obtained by translating a cross-section in a constant direction along an unbounded spatial curve. Consider the Dirichlet…