On the Nonlinear Riemann Problems for General First Elliptic Systems in the Plane
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摘要: 讨论一般形式的一阶线性和拟线性椭圆型方程的非线性Riemann问题,通过把这些问题转化为奇异积分方程,利用压缩原理和广义压缩原理来证明在某些假设条件下所讨论问题的解的存在性.Abstract: The nonlinear Riemann problem for general systems of two 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.
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Key words:
- Riemann problem /
- elliptic system /
- singular integral equation
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