Abstract
This article is devoted to the investigation of spectral asymptotics for the second-order differential operator with transmission boundary conditions. A two-term asymptotic formula is obtained for the distribution function of eigenvalues under some assumptions not excluding the reach set of periodic billiard trajectories.
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Safarov, Y.G. On the second term of the spectral asymptotics of the transmission problem. Acta Appl Math 10, 101–130 (1987). https://doi.org/10.1007/BF00046615
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DOI: https://doi.org/10.1007/BF00046615