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arXiv 1112.0891math-phmath.DSmath.MP
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关于内透射本征值、外尔公式和分枝台球的注记

Remarks on interior transmission eigenvalues, Weyl formula and branching billiards

Evgeny Lakshtanov, Boris Vainberg

摘要:

本文给出了内传递问题为参数椭圆时的计数函数的Weyl公式。构造了分支台球轨迹,并在一定条件下,在周期台球轨迹集上估计了Weyl渐近性的第二项。

英文摘要:

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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