Remarks on interior transmission eigenvalues, Weyl formula and branching billiards
Mathematical Physics
2015-06-03 v3 Dynamical Systems
math.MP
Abstract
The paper contains the Weyl formula for the counting function of the interior transmission problem when the latter is parameter-elliptic. Branching billiard trajectories are constructed, and the second term of the Weyl asymptotics is estimated from above under some conditions on the set of periodic billiard trajectories.
Cite
@article{arxiv.1112.0891,
title = {Remarks on interior transmission eigenvalues, Weyl formula and branching billiards},
author = {Evgeny Lakshtanov and Boris Vainberg},
journal= {arXiv preprint arXiv:1112.0891},
year = {2015}
}
Comments
two misprints (in (13) and (14)) are corrected