数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (2): 209-217.

• 论文 • 上一篇    下一篇

THE CAUCHY PROBLEMS FOR HIGH DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS

朱长江   

  1. Young Scientists Laboratory of Wuhan Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China
  • 收稿日期:1994-04-25 修回日期:1995-01-03 出版日期:1996-06-25 发布日期:1996-06-25
  • 基金资助:
    Partially supported by grants from National Youth Science Foundation of China and Youth Science Foundation of Chinese Academy of Sciences.

THE CAUCHY PROBLEMS FOR HIGH DIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS

Zhu Changjiang   

  1. Young Scientists Laboratory of Wuhan Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China
  • Received:1994-04-25 Revised:1995-01-03 Online:1996-06-25 Published:1996-06-25
  • Supported by:
    Partially supported by grants from National Youth Science Foundation of China and Youth Science Foundation of Chinese Academy of Sciences.

摘要: In this paper, we prove the existence of tile global smooth solution to the Cauchy problems for a class of diagonalizable high dimensional quasilinear hyperbolic systems consisted of n-equations.

关键词: quasilinear hyperbolic system, smooth solution, a priori estimates

Abstract: In this paper, we prove the existence of tile global smooth solution to the Cauchy problems for a class of diagonalizable high dimensional quasilinear hyperbolic systems consisted of n-equations.

Key words: quasilinear hyperbolic system, smooth solution, a priori estimates