1112.0891 (Evgeny Lakshtanov et al.)

Remarks on interior transmission eigenvalues, Weyl formula and branching
billiards    [PDF]

Evgeny Lakshtanov, Boris Vainberg

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.

View original: http://arxiv.org/abs/1112.0891