Remarks on interior transmission eigenvalues, Weyl formula and branching billiards
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🧮 math-ph
math.DSmath.MP
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weylbilliardbranchingformulainteriortrajectoriestransmissionabove
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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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