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Distribution of eigenfrequencies for the wave equation in a finite domain. I.: Three-dimensional problem with smooth boundary surface. (English) Zbl 0207.40202


MSC:

35P20 Asymptotic distributions of eigenvalues in context of PDEs

Citations:

Zbl 0218.35071
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Full Text: DOI

References:

[1] Pleijel, Å., (12 Skand. Mat. Kongr. (1953)), 222
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[5] Clark, C., SIAM Rev., 9, 627 (1967)
[6] Fedossov, B. V., Dokl. Akad. Nauk SSSR, Ser. Mat. Fiz., 157, 536 (1964)
[7] Brownell, F. H., J. Math. Mech., 6, 119 (1957)
[8] Fisher, M. E., J. Combinatorial Theory, 1, 105 (1966)
[9] Hill, D. L.; Wheeler, J. A., Phys. Rev., 89, 1124 (1953)
[10] Gaudin, M.; Sajot, A. M., J. Physique, 30, 857 (1969)
[11] Carleman, T., (Huitième Congr. Math. Scand. à Stockholm (1934)), 34
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