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Remarks on interior transmission eigenvalues, Weyl formula and branching billiards (1112.0891v3)
Published 5 Dec 2011 in math-ph, math.DS, and 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.
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