留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

奇摄动半线性椭圆型方程的边界层-角层现象

周哲彦

周哲彦. 奇摄动半线性椭圆型方程的边界层-角层现象[J]. 应用数学和力学, 1992, 13(1): 67-79.
引用本文: 周哲彦. 奇摄动半线性椭圆型方程的边界层-角层现象[J]. 应用数学和力学, 1992, 13(1): 67-79.
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.

奇摄动半线性椭圆型方程的边界层-角层现象

Singularly Perturbed Semilinear Elliptic Equation with Boundary-Interior Layer Interaction

  • 摘要: 本文考虑一类半线性椭圆型方程的边界层-角层现象,在适当的条件下,我们得到了摄动问题解的存在性及其一致有效渐近展开式.
  • [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
计量
  • 文章访问数:  2030
  • HTML全文浏览量:  75
  • PDF下载量:  510
  • 被引次数: 0
出版历程
  • 收稿日期:  1989-11-13
  • 刊出日期:  1992-01-15

目录

    /

    返回文章
    返回