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

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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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     author = {A. M. Il'in and E. F. Lelikova},
     title = {A~method of joining asymptotic expansions for the equation $\varepsilon\Delta u-a(x,y)u_y=f(x,y)$ in a~rectangle},
     journal = {Sbornik. Mathematics},
     pages = {533--548},
     publisher = {mathdoc},
     volume = {25},
     number = {4},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1975_25_4_a4/}
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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/