Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (4): 495-503.

• Articles • Previous Articles     Next Articles

THE GLOBAL AND LOCAL C2-SOLUTIONS FOR THE AVE EQUATION 2u = G(ut,Du) IN THREE SPACE IMENSIONS

 LAI Chao-Yong   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
  • Received:1998-12-28 Online:2000-06-15 Published:2000-06-15
  • Supported by:

    Supported by youth foundation of Sichuan province (1999-09)

Abstract:

Kunio Hidano[4] has shown that the global and local C2-solutions for semilinear
wave equations with spherical symmetry in three space dimensions. This paper
studies the global and local C2-solutions for the semilinear wave equations without spherical
symmetry in three space dimensions. A problem put forward by Hiroyuki Takamura[2]
is partially answered.

Key words: Semilinear wave equations, global and local C2-solutions, three space dimensions

CLC Number: 

  • 62A15
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