数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2369-2376.doi: 10.1016/S0252-9602(12)60185-4

• 论文 • 上一篇    下一篇

NOTE ON AN OPEN PROBLEM OF HIGHER ORDER NONLINEAR EVOLUTION EQUATIONS

Tujin Kim1|常谦顺2|徐静3*   

  1. 1.Institute of Mathematics, Academy of Sciences of DPR of Korea, Pyonyang, DPR of Korea； 2.Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China； 3.School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
  • 收稿日期:2011-01-28 出版日期:2012-11-20 发布日期:2012-11-20
  • 通讯作者: 徐静，jingxu@mail.zjgsu.edu.cn E-mail:dujinkm@amss.ac.cn；qschang@amss.ac.cn；jingxu@mail.zjgsu.edu.cn
  • 基金资助:

    The first author´s research is supported by TWAS, UNESO and AMSS in Chinese Academy. The research of the third author is partially supported by NSFC (11001239).

NOTE ON AN OPEN PROBLEM OF HIGHER ORDER NONLINEAR EVOLUTION EQUATIONS

 Tujin Kim1, CHANG Qian-Shun2, XU Jing3*   

  1. 1.Institute of Mathematics, Academy of Sciences of DPR of Korea, Pyonyang, DPR of Korea； 2.Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China； 3.School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
  • Received:2011-01-28 Online:2012-11-20 Published:2012-11-20
  • Contact: XU Jing，jingxu@mail.zjgsu.edu.cn E-mail:dujinkm@amss.ac.cn；qschang@amss.ac.cn；jingxu@mail.zjgsu.edu.cn
  • Supported by:

    The first author´s research is supported by TWAS, UNESO and AMSS in Chinese Academy. The research of the third author is partially supported by NSFC (11001239).

PDF (PC)

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摘要：

In view of a new idea on initial conditions, an open problem of nonlinear evolution equations with higher order, which was given by J. L. Lions, is solved. Effect of our results is shown on an example.

关键词: nonlinear evolution equation, Cauchy problem, higher order

Abstract:

In view of a new idea on initial conditions, an open problem of nonlinear evolution equations with higher order, which was given by J. L. Lions, is solved. Effect of our results is shown on an example.

Key words: nonlinear evolution equation, Cauchy problem, higher order

中图分类号: 

  • 35B37
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