Counting the Resonances in High and Even Dimensional Obstacle Scattering

Details Counting the Resonances in High and Even Dimensional Obstacle Scattering Counting the Resonances in High and Even Dimensional Obstacle Scattering

2011-05-25

arxiv.org/abs/1105.4972v1

Mathematics

Functional Analysis

Scientific paper

In this paper, we give a polynomial lower bound for the resonances of $-\Delta$ perturbed by an obstacle in even-dimensional Euclidean spaces, $n\geq4$. The proof is based on a Poisson Summation Formula which comes from the Hadamard factorization theorem in the open upper complex plane. We take advantage of the singularity of regularized wave trace to give the pole/resonance counting function over the principal branch of logarithmic plane a lower bound.

Affiliated with

Also associated with

No associations

Rating

Counting the Resonances in High and Even Dimensional Obstacle Scattering 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 Counting the Resonances in High and Even Dimensional Obstacle Scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Counting the Resonances in High and Even Dimensional Obstacle Scattering will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-191153