On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian

Details On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian

2010-12-23

arxiv.org/abs/1012.5295v1

Eurasian Mathematical Journal, Volume 1, Number 1 (2010), 111-122

Mathematics

Spectral Theory

ISSN 2077-9879. Available also at the web page http://www.enu.kz/en/emj.php

Scientific paper

We consider a spectral stability estimate by Burenkov and Lamberti concerning the variation of the eigenvalues of second order uniformly elliptic operators on variable open sets in the N-dimensional euclidean space, and we prove that it is sharp for any dimension N. This is done by studying the eigenvalue problem for the Dirichlet Laplacian on special open sets inscribed in suitable spherical cones.

Affiliated with

Also associated with

No associations

Rating

On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian 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 sharpness of a certain spectral stability estimate for the Dirichlet Laplacian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the sharpness of a certain spectral stability estimate for the Dirichlet Laplacian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-642464