On asymptotic approximations of solutions of an equation with a small parameter
On asymptotic approximations of solutions of an equation with a small parameter
A second order elliptic equation with a small parameter at one of the highest order derivatives is considered in a three-dimensional domain. The limiting equation is a collection of two-dimensional elliptic equations in two-dimensional domains depending on one parameter. By the method of matching of asymptotic expansions, a uniform asymptotic …