Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (10): 1377-1381 .doi: https://doi.org/10.1007/s10483-008-1012-z

• Articles • 上一篇    下一篇

超抛物型方程的非线性奇摄动问题

林苏榕1;莫嘉琪2,3   

  1. 1.福州广播电视大学计算机学院,福州 350003; 2. 安徽师范大学数学系, 芜湖 241000;
    3.上海高校计算科学E-研究院上海交通大学研究所,上海 200240;
  • 收稿日期:2007-11-21 修回日期:2008-08-12 出版日期:2008-10-01 发布日期:2008-10-01
  • 通讯作者: 林苏榕

Nonlinear singularly perturbed problems of ultra parabolic equations

LIN Su-rong1;MO Jia-qi2,3   

  1. 1. Department of Computer, Fujian Radio and TV University, Fuzhou 350003, P. R. China; 2. Department of Mathematics, Anhui Normal University,Wuhu 241000,Anhui Province, P. R. China; 3. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200240, P. R. China
  • Received:2007-11-21 Revised:2008-08-12 Online:2008-10-01 Published:2008-10-01
  • Contact: LIN Su-rong

摘要: 本文讨论了一类超抛物型方程的非线性奇摄动问题。利用比较定理,研究了问题解的存在性及其渐近性态。

关键词: 超抛物型方程, 奇摄动, 渐近性态, 比较定理

Abstract: A class of nonlinear singularly perturbed problem of ultra parabolic equations are considered. Using the comparison theorem, the existence, uniqueness and its asymptotic behavior of solution for the problem are studied.

Key words: ultra parabolic equation, singular perturbation, asymptotic behavior, comparison theorem

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals