On the resonances of the Laplacian on waveguides

Details On the resonances of the Laplacian on waveguides On the resonances of the Laplacian on waveguides

2001-09-21

arxiv.org/abs/math-ph/0109022v1

Physics

Mathematical Physics

Scientific paper

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. This is then used to prove that the existence of a quasimode whose asymptotics is bounded away from the thresholds implies the existence of resonances converging to the real axis.

Affiliated with

Also associated with

No associations

Rating

On the resonances of the Laplacian on waveguides does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the resonances of the Laplacian on waveguides, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the resonances of the Laplacian on waveguides will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658088