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

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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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     author = {B. R. Vainberg},
     title = {On~exterior elliptic problems polynomially depending on a~spectral parameter, and the asymptotic behavior for large time of solutions of nonstationary problems},
     journal = {Sbornik. Mathematics},
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     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_21_2_a3/}
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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/