Geodesic
On exterior elliptic problems polynomially depending on a spectral parameter, and the asymptotic behavior for large time of solutions of nonstationary problems
Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 221-239 
B. R. Vainberg. On exterior elliptic problems polynomially depending on a spectral parameter, and the asymptotic behavior for large time of solutions of nonstationary problems. Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 221-239. http://geodesic.mathdoc.fr/item/SM_1973_21_2_a3/
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     title = {On~exterior elliptic problems polynomially depending on a~spectral parameter, and the asymptotic behavior for large time of solutions of nonstationary problems},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper elliptic problems in exterior domains polynomially depending on a spectral parameter $k$ are considered. These problems are obtained from a mixed problem for hyperbolic equations by substituting $k$ for $id/dt$. For such elliptic problems analytic properties of the resolvent are studied in the neighborhood of the point $k=0$, which permits, for the corresponding nonstationary problem, a complete asymptotic expansion of solutions as $t\to\infty$. Bibliography: 11 titles.

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[2] B. R. Vainberg, “Povedenie resheniya zadachi Koshi dlya giperbolicheskogo uravneniya pri $t\to\infty$”, Matem. sb., 78 (120) (1969), 542–578 | MR | Zbl

[3] B. R. Vainberg, “O printsipe predelnoi amplitudy”, Matem. sb., 86 (128) (1971), 90–109 | MR | Zbl

[4] M. S. Agranovich, M. I. Vishik, “Ellipticheskie zadachi s parametrom i parabolicheskie zadachi obschego vida”, Uspekhi matem. nauk, XIX:3 (117) (1964), 53–161

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[6] I. Ts. Gokhberg, “O lineinykh operatorakh, analiticheski zavisyaschikh ot parametra”, DAN SSSR, 78:4 (1951), 629–632 | Zbl

[7] P. M. Blekher, “Ob operatorakh, zavisyaschikh meromorfno ot parametra”, Vestnik MGU, 5 (1969), 30–36 | Zbl

[8] R. C. Mac Camy, “Low frequency acoustic oscillations”, Quart. J. Appl. Math., 23:3 (1965), 247–255 | MR | Zbl

[9] V. M. Babich, “Ob asimptotike funktsii Grina nekotorykh volnovykh zadach. II: Nestatsionarnyi sluchai”, Matem. sb., 87 (129) (1972), 44–57 | Zbl

[10] D. M. Eidus, “Printsip predelnoi amplitudy”, Uspekhi matem. nauk, XXIV:3 (147) (1969), 91–156 | MR

[11] S. G. Mikhlin, Mnogomernye singulyarnye integraly i integralnye uravneniya, Fizmatgiz, Moskva, 1962 | Zbl