Corner Boundary Layer in Nonlinear Elliptic Problems Containing Derivatives of First Order

In a rectangular domain the first boundary value problem is considered for a singularly perturbed elliptic equationε 2∆u − ε αA(x, y) ∂u/∂y = F(u, x, y, ε)with a nonlinear on u function F. The complete asymptotic solution expansion uniform in a closed rectangle is constructed for α > 1. If 0...

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Bibliographic Details
Main Authors: V. F. Butuzov, I. V. Denisov
Format: Article
Language:English
Published: Yaroslavl State University 2014-02-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/124