Valeri G. Sushko

Asymptotic Representations for Solutions of Bisingular Problems

Boundary value problems for partial differential equations of elliptic, parabolic and mixed types with small parameters by higher order derivatives are considered. It is assumed that the solution of the corresponding degenerate equation has singular points and curves where this solution is non-smooth. Asymptotic representations of solutions of non-degenerate problems with respect to small parameters are constructed. %

Mathematics Subject Classification: 35J70, 35K65, 35M10.

Key words and phrases: Partial differential equation, differential equation of elliptic type, differential equation of parabolic type, differential equation of mixed type, singular perturbation, bisingular boundary value problem, asymptotic representation.