1 research outputs found
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 Å eba billiards that localize around a pair of unperturbed
eigenfunctions