Exponential decay of Laplacian eigenfunctions in domains with branches

Details Exponential decay of Laplacian eigenfunctions in domains with branches Exponential decay of Laplacian eigenfunctions in domains with branches

2011-09-15

arxiv.org/abs/1109.3408v1

Physics

Mathematical Physics

Scientific paper

The behavior of Laplacian eigenfunctions in domains with branches is investigated. If an eigenvalue is below a threshold which is determined by the shape of the branch, the associated eigenfunction is proved to exponentially decay inside the branch. The decay rate is twice the square root of the difference between the threshold and the eigenvalue. The derived exponential estimate is applicable for arbitrary domains in any spatial dimension. Numerical simulations illustrate and further extend the theoretical estimate.

Affiliated with

Also associated with

No associations

Rating

Exponential decay of Laplacian eigenfunctions in domains with branches 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 Exponential decay of Laplacian eigenfunctions in domains with branches, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exponential decay of Laplacian eigenfunctions in domains with branches will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673712