Asymptotics of the Solution of an Initial-Boundary Value Problem for a Singularly Perturbed Parabolic Equation in the Case of Double Root of the Degenerate Equation

摘要

For a singularly perturbed parabolic equation, we construct and justify the asymptotics of the classical solution of an initial-boundary value problem in the case of a double root of the degenerate equation. This case substantially differs from the case of a simple root in that the scales of the boundary layer variables are different.