Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 302-310.

• Articles • Previous Articles     Next Articles

EXISTENCE AND DECAY OF WEAK SOLUTIONS TO DEGENERATE DAVEY-STEWARTSON EQUATIONS

 LI Yong-Sheng, GUO Bo-Ling   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
    Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Online:2002-07-15 Published:2002-07-15
  • Supported by:

    Project supported by Natural Science Foundation of China (10001013)

Abstract:

In this paper, the authors consider a system of degenerate Davey-Stewartson equations. They prove the global existence of weak solutions in some weighted function spaces and the decay of weak solutions in some anisotropic spaces for appropriate initial data.

Key words: Degenerate Davey-Stewartson equations, weak solution, global existence,decay

CLC Number: 

  • 35Q55
Trendmd