Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (2): 209-217.

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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.

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

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