数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (4): 495-503.

• 论文 • 上一篇    下一篇

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

赖绍永   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China
  • 收稿日期:1998-12-28 出版日期:2000-06-15 发布日期:2000-06-15
  • 基金资助:

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

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)

摘要:

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.

关键词: Semilinear wave equations, global and local C2-solutions, three space dimensions

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

中图分类号: 

  • 62A15