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math-ph2002
Trapped modes for periodic structures in waveguides
Julian Edward
The Laplace operator is considered for waveguides perturbed by a periodic structure consisting of N congruent obstacles spanning the waveguide. Neumann boundary conditions are impo…
math-ph2001
On the resonances of the Laplacian on waveguides
Julian Edward
The resonances for the Dirichlet and Neumann Laplacian are studied on compactly perturbed waveguides. An upper bound on the number of resonances near the physical plane is proven.…