Localized eigenfunctions in Seba billiards
J.P. Keating
J. Marklof
Brian Winn
2134/15455
https://repository.lboro.ac.uk/articles/journal_contribution/Localized_eigenfunctions_in_Seba_billiards/9388292
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 Ĺ eba billiards that localize around a pair of unperturbed
eigenfunctions.
2014-08-06 12:17:24
untagged
Mathematical Sciences not elsewhere classified