Asymptotic behaviour of solutions of a singular elliptic system in a rectangle
Алексей Руфимович Данилин · Sbornik Mathematics · 2003
A system of two conjugate elliptic equations with a small parameter at the highest derivatives is considered in a rectangle with two sides parallel to the characteristics of the limiting equations.The method of matched asymptotic expansions is used for the construction of uniform asymptotic series for solutions of this system up to an arbitrary power of the small parameter.