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On the resonances of the Laplacian on waveguides

open access: yesJournal of Mathematical Analysis and Applications, 2002
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. In the absence of resonances, an upper bound is proven for the localised resolvent.
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