This article is cited in 2 scientific papers (total in 2 papers)
On the approximation of solutions of boundary value problems in domains with an unbounded boundary
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 $\Omega_r\subset\Omega$.
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Mathematics of the USSR-Sbornik, 1973, 20:4, 506–518
MSC: Primary 35J40, 35A35; Secondary 35B45
L. Shimon, “On the approximation of solutions of boundary value problems in domains with an unbounded boundary”, Mat. Sb. (N.S.), 91(133):4(8) (1973), 488–499; Math. USSR-Sb., 20:4 (1973), 506–518
Citation in format AMSBIB
\paper On~the approximation of solutions of boundary value problems in domains with an unbounded boundary
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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M. Ya. Spiridonov, “Approximation of solutions of elliptic problems in domains with noncompact boundaries by solutions of exterior or interior problems”, Math. USSR-Sb., 53:2 (1986), 551–561
V. S. Rabinovich, “Stability of the Inverse Operators of Boundary Value Problems in Smooth Expanding Domains”, Funct. Anal. Appl., 35:4 (2001), 309–311
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