On the approximation of solutions of boundary value problems in domains with an unbounded boundary
Sbornik. Mathematics, Tome 20 (1973) no. 4, pp. 506-518 Cet article a éte moissonné depuis la source Math-Net.Ru

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Elliptic problems with a complex parameter $q$ are considered for equations with variable coefficients in domains $\Omega$ with an unbounded boundary. It is proved that for sufficiently large $|q|$ the problem has a unique solution in the space $H^s(\Omega)$ and that the solution can be obtained as the limit as $r\to\infty$ of the solution of a boundary value problem in a certain bounded domain $\Omega_r\subset\Omega$. Bibliography: 6 titles.
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L. Shimon. On the approximation of solutions of boundary value problems in domains with an unbounded boundary. Sbornik. Mathematics, Tome 20 (1973) no. 4, pp. 506-518. http://geodesic.mathdoc.fr/item/SM_1973_20_4_a1/

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