一类周期数据的Riemann-Hilbert分析

Riemann-Hilbert analysis of a class of periodic data

运用Hilbert核的奇异积分方程解决周期散射数据问题.该方法是通过将双调和函数与Riemann-Hilbert边值问题相结合,把不连续数据散射问题转化为一个奇异积分方程.最后,给出此方程在特定条件下的解.

The problem of periodic scattering data is solved by the singular integral equation of Hilbert kernel in this paper.By combining the biharmonic function with the Riemann-Hilbert boundary value problem,firstly,the discontinuous data scattering problem is transformed into a singular integral equation.Then,the solution of this equation under certain conditions is given.