Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (6): 2369-2376.doi: 10.1016/S0252-9602(12)60185-4

• Articles • Previous Articles     Next Articles

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).

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

CLC Number: 

  • 35B37
Trendmd