Localized eigenfunctions in Seba billiards

We describe some new families of quasimodes for the Laplacian perturbed by the addition of a potential formally described by a Dirac delta function. As an application, we find, under some additional hypotheses on the spectrum, subsequences of eigenfunctions of Šeba billiards that localize around a p...

Full description

Saved in:
Bibliographic Details
Main Authors: J.P. Keating, J. Marklof, Brian Winn
Format: Default Article
Published: 2010
Subjects:
Online Access:https://hdl.handle.net/2134/15455
Tags: Add Tag
No Tags, Be the first to tag this record!