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

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.

作 者： Shao Zhiqiang Chen Shuxing   作者單位： Shao Zhiqiang(Department of Mathematics, Fuzhou University, Fuzhou, Fujian 350002, China)

Chen Shuxing(Institute of Mathematics, Fudan University, Shanghai 200433, China) 

刊 名： 數(shù)學物理學報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(4)  分類號： O1  關(guān)鍵詞： Nonlinear mixed problem   discontinuous data   symmetric hyperbolic systems  

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