Remarks on interior transmission eigenvalues, Weyl formula and branching billiards

Details Remarks on interior transmission eigenvalues, Weyl formula and branching billiards Remarks on interior transmission eigenvalues, Weyl formula and branching billiards

2011-12-05

arxiv.org/abs/1112.0891v3

J. Phys. A: Math. Theor. 45 (2012) 125202

Physics

Mathematical Physics

two misprints (in (13) and (14)) are corrected

Scientific paper

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.

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