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Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (1): 79-84 .

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ON THE NONLINEAR RIEMANN PROBLEMS FOR GENERAL FIRST ELLIPTIC SYSTEMS IN THE PLANE

LI Ming-zhong, SONG Jie   

    1. Department of Mathematics, Shanghai University, Shanghai 200444, P.R.China;
    2. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P.R.China
  • Received:2002-12-29 Revised:2004-10-08 Online:2005-01-18 Published:2005-01-18
  • Contact: LI Ming-zhong

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Abstract: The nonlinear Riemann problem for general systems of the first-order linear and quasi-linear equations in the plane are considered.It translates them to singular integral equations and proves the existence of the solution by means of contract principle or general contract principle.The known results are generalized.

Key words: singular integral equation, Riemann problem, elliptic system

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