Geodesic
The asymptotics of the solution of an equation with a~small parameter in a~domain with angular points
Sbornik. Mathematics, Tome 201 (2010) no. 10, pp. 1495-1510

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The asymptotic behaviour of solutions of the first boundary-value problem for a second-order elliptic equation in a domain with angular points is investigated for the case when a small parameter is involved in the equation only as a factor multiplying one of the highest order derivatives and the limit equation is an ordinary differential equation. Although the order of the limit equation coincides with that of the original equation, the problem in question is singularly perturbed. The asymptotic behaviour of the solution of this problem is studied by the method of matched asymptotic expansions. Bibliography: 11 titles.
Keywords: small parameter, asymptotic behaviour, angular point. 
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     author = {E. F. Lelikova},
     title = {The asymptotics of the solution of an equation with a~small parameter in a~domain with angular points},
     journal = {Sbornik. Mathematics},
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E. F. Lelikova. The asymptotics of the solution of an equation with a~small parameter in a~domain with angular points. Sbornik. Mathematics, Tome 201 (2010) no. 10, pp. 1495-1510. http://geodesic.mathdoc.fr/item/SM_2010_201_10_a3/