Geodesic
The distribution of eigenvalues of partial differential operators
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1991-1992), Exposé no. 17, 17 p.

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Vassiliev, D. G. The distribution of eigenvalues of partial differential operators. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1991-1992), Exposé no. 17, 17 p. http://geodesic.mathdoc.fr/item/SEDP_1991-1992____A17_0/

1 D.G. Vasil'Ev, Binomial asymptotics of the spectrum of a boundary value problem, Funktsional. Anal. i Prilozhen. 17 (1983), no. 4, 79-81; English transl. in Functional Anal. Appl. 17 (1984), 309-311. | Zbl | MR

2 D.G. Vasil'Ev, Two-term asymptotics of the spectrum of a boundary value problem under an interior reflection of general form, Funktsional. Anal. i Prilozhen. 18 (1984), no. 1, 1-13; English transl. in Functional Anal. Appl. 18 (1984), 267-277. | Zbl | MR

3 D.G. Vasil'Ev, Asymptotics of the spectrum of a boundary value problem, Trudy Moskov. Mat. Obshch. 49 (1986), 167-237; English transl. in Trans. Moscow Math. Soc. (1987), 173-245. | Zbl | MR

4 D.G. Vasil'Ev and A.L. Gol'Denveizer, Distribution of free vibration frequencies in two- and three-dimensional elastic bodies, Mekhanika i nauchno-tekhnicheskii progress, vol. 3, Mekhanika deformiruemogo tverdogo tela, Nauka, Moscow, 1988, pp. 223-236; English transl. in Mechanical Engineering and Applied Mechanics, vol. 3, Mechanics of Deformable Solids (N. Kh. Arutiunian, I. F. Obraztsov, and V. Z. Parton, eds.), Hemisphere Publ., New York, 1991, pp. 227-242. | MR

5 D.G. Vasil'Ev and Yu. G. Safarov, Branching Hamiltonian billiards, Dokl. Akad. Nauk SSSR 301 (1988), no. 2, 271-275; English transl. in Soviet Math. Dokl. 38 (1989), no. 1, 64-68. | Zbl | MR

6 V. Ya. Ivriĭ, On the second term of the spectral asymptotics for the Laplace-Beltrami operator on manifolds with boundary, Funktsional. Anal. i Prilozhen. 14 (1980), no. 2, 25-34; English transl. in Functional Anal. Appl. 14 (1980), 98-106. | Zbl | MR

7 I.P. Kornfel'D, Ya. G. Sinai, and S.V. Fomin, Ergodic theory, "Nauka", Moscow, 1980; English transl. (Cornfeld, Fomin, and Sinai), Springer-Verlag, Berlin and New York, 1982. | Zbl | MR

8 B.M. Levitan, On the asymptotic behavior of the spectral function of a self-adjoint differential second order equation, Izv. Akad. Nauk SSSR Ser. Mat. 16 (1952), no. 1, 325-352. (Russian) | Zbl | MR

9 J.L. Lions and E. Magenes, Problemes aux limites non homogènes et applications, vol. 1, Dunod, Paris, 1968; English transl., Springer-Verlag, Berlin and New York, 1972. | Zbl | MR

10 François Trèves, Introduction to pseudo-differential and Fourier integral operators, vols. 1, 2, Plenum Press, New York, 1980. | Zbl | MR

11 M.A. Shubin, Pseudodifferential operators and spectral theory, "Nauka", Moscow, 1980; English transl., Springer-Verlag, Berlin and New York, 1986. | Zbl

12 J.J. Duistermaat and V.W. Guillemin, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29 (1975), 39-79. | Zbl | MR

13 Lars Hörmander, The spectral function of an elliptic operator, Acta Math. 121 (1968), 193-218. | Zbl | MR

14 Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), 79-183. | Zbl | MR

15 Victor Ivriĭ, Precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary, Lecture Notes in Math., vol. 1100, Springer-Verlag, Berlin and New York, 1984. | Zbl | MR

16 R. Melrose, Weyl's conjecture for manifolds with concave boundary, Proc. Sympos. Pure Math., vol. 36, Amer. Math. Soc., Providence, R.I., 1980, pp. 257-273. | Zbl | MR

17 R. Seeley, An estimate near the boundary for the spectral function of the Laplace operator, Amer. J. Math. 102 (1980), 869-902. | Zbl | MR

18 V.S. Buslaev, Scattered plane waves, spectral asymptotics and trace formulae in exterior problems, Dokl. Akad. Nauk. SSSR 197 (1971), no. 5, 999-1002; English transl. in Soviet Math. Dokl. 12 (1971), no. 2, 591-595. | Zbl | MR

19 L. Schwartz, Théorie des distributions, Hermann, Paris, 1966. | Zbl | MR

20 Lars Hörmander, The analysis of linear partial differential operators, vol. 1, Springer-Verlag, Berlin and New York, 1983. | Zbl