华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (1): 23-30.

• 奇摄动研究专题：研究论文 • 上一篇    下一篇

一类奇摄动抛物方程的周期解

倪明康1,3 古 晞2   

  1. 1. 华东师范大学 数学系, 上海 200062; 2. 同济大学 应用数学系, 上海 200092; 3. 上海高校计算科学 E-研究院 上海交通大学研究所, 上海 200030
  • 收稿日期:2003-12-11 修回日期:2004-03-31 出版日期:2006-01-25 发布日期:2006-01-25
  • 通讯作者: 倪明康

The Periodic Solution for A Kind of Parabolic Perturbed Equations(Chinese)

NI Ming-kang 1,3, GU Xi 2   

  1. 1. Department of Mathematics, East China Normal University, Shanghai} 200062, China; 2. Department of Applied Mathematics, Tongji University, Shanghai 200092, China; 3. SJTU Section, Computational Science Division, E-Institute of ShanghaiUniversities, Shanghai 200030, China
  • Received:2003-12-11 Revised:2004-03-31 Online:2006-01-25 Published:2006-01-25
  • Contact: NI Ming-kang

摘要： 研究了一类含有迁移项的奇摄动抛物方程的周期解问题, 给出了解的存在唯一性、渐近解及其余项估计.

关键词: 奇摄动, 抛物型方程, 渐近展开, 余项估计, 奇摄动, 抛物型方程, 渐近展开, 余项估计

Abstract: The periodic solution for a kind of parabolic perturbed equations including transposed item is discussed. The uniqueness of the solution is proved, and the asymptotic expansion of the solution and remainder estimation are also given.

Key words: parabolic equations, asymptotic expansions, remainder estimation, singular perturbation, parabolic equations, asymptotic expansions, remainder estimation

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