Zhou Zhe-yan. Singularly Perturbed Semilinear Elliptic Equation with Boundary-Interior Layer Interaction[J]. Applied Mathematics and Mechanics, 1992, 13(1): 67-79.
Citation: Zhou Zhe-yan. Singularly Perturbed Semilinear Elliptic Equation with Boundary-Interior Layer Interaction[J]. Applied Mathematics and Mechanics, 1992, 13(1): 67-79.

Singularly Perturbed Semilinear Elliptic Equation with Boundary-Interior Layer Interaction

  • Received Date: 1989-11-13
  • Publish Date: 1992-01-15
  • In this paper,we consider the phenomenon of the boundary and interior layer interactions for a class of semilinear elliptic equation.Under some appropriate conditions,we get the existence of the exact solution for the problem and its high order uniformly valid expansion.
  • loading
  • [1]
    江福汝,关于常微分方程的转点问题.全国第二届近代数学和力学会议文集,上海(1987).
    [2]
    Howes,F,A.,Boundary.interior layer interactions in nonlinear singular perturbation theory,Amer.Math.Soc.Memoirs,203(1978).
    [3]
    Howes,F.A.,Differential inequalities of higher order and the asymptotic solution of nonlinear boundary value problems,SIAM.J.Math.Anul.,13.1(1982).
    [4]
    Chang,K.W.and F.A.Howes,Nonlinear perturbution phenomena:Theory and application,Appl.Math.Sci.,56,Springer-Verlag,New York Inc.(1984).
    [5]
    Howes,F.A.,Some singularly perturbed superquadratic boundary value problems whose solutions exhibit boundary and shock layer behavior,Nonlinear Analysis,4(1980),683-698.
    [6]
    Dejager,E,M.,Singular elliptic perturbations of vanishing first-order differential operators,Lecture Notes in Math.,280,Springer-Verlag(1972),73-86.
    [7]
    Howes,F.A.,Singularly perturbed semilinear elliptic boundary value problems,Partial Differential Equations,4,1(1979),1-39.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1855) PDF downloads(510) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return