Geodesic
A method of joining asymptotic expansions for the equation $\varepsilon\Delta u-a(x,y)u_y=f(x,y)$ in a rectangle
Sbornik. Mathematics, Tome 25 (1975) no. 4, pp. 533-548 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the closed rectangle ($0\leqslant x\leqslant l_1$, $0\leqslant y\leqslant l_2$) as $\varepsilon\to0$ an asymptotic expansion of the solution of the Dirichlet problem for the equation indicated in the title is constructed and proved. Near the corners $(0,0)$ and $(l_1,0)$ the method of joining two different asymptotic expansions is employed. Bibliography: 9 titles. 
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     title = {A~method of joining asymptotic expansions for the equation $\varepsilon\Delta u-a(x,y)u_y=f(x,y)$ in a~rectangle},
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A. M. Il'in; E. F. Lelikova. A method of joining asymptotic expansions for the equation $\varepsilon\Delta u-a(x,y)u_y=f(x,y)$ in a rectangle. Sbornik. Mathematics, Tome 25 (1975) no. 4, pp. 533-548. http://geodesic.mathdoc.fr/item/SM_1975_25_4_a4/

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[8] A. M. Ilin, Yu. P. Gorkov, E. F. Lelikova, “Asimptotika resheniya ellipticheskogo uravneniya s malym parametrom pri starshikh proizvodnykh v okrestnosti osoboi kharakteristiki predelnogo uravneniya”, Trudy seminara im. I. G. Petrovskogo, 1 (1975), 75–133

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