椭圆型方程组的边界条件中含有二阶导数的Riemann型边值问题

The Riemann Type Boundary Value Problem for the Elliptic Systems with the Boundary Condition Including Second Order Derivateves

本文使用奇异积分方程组研究边值问题的方法,在一定条件下给出了一阶线性椭圆型偏微分方程组的边界条件中含有二阶导数的Riemann型边值问题的可解性条件,及其齐次问题与相应的齐次共轭问题的线性无关解个数之间的关系。

In this paper,with the help of singuler integral equation system,under certain condi-tions,we give soluvable conditions of Riemann type problem for the elliptic partial differentiol equntion system of first order with the boundary condition including second order derivateves,and the relationship of the count of linear indepedent solutions for the homogeneous problem of Riemann type problem and its homogeneous problem.