Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (4): 610-620.

• Articles • Previous Articles     Next Articles

THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA

 SHAO Zhi-Jiang, CHEN Shu-Hang   

  • Online:2005-10-11 Published:2005-10-11
  • Supported by:

    This research is supported by the National Natural Science Foundation of
    China, the Special Funds for Major State Basic Research Projects of China, the Science and Technology Foun-
    dation of Fujian Province(2001J009), and the Science and Technology Developmental Foundation of Fuzhou
    University(2004-XQ-16).

Abstract:

This paper studies the nonlinear mixed problem for a class of symmetric hyperbolic
systems with the boundary condition satisfying the dissipative condition about
discontinuous data in higher dimension spaces, establishes the local existence theorem by
using the method of a prior estimates, and obtains the structure of singularities of the
solutions of such problems.

Key words: Nonlinear mixed problem, discontinuous data, symmetric hyperbolic systems

CLC Number: 

  • 35L70
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