间断系数Riemann边值问题的稳定性

Stability of Riemann Boundary Value Problem with Discontinuous Coefficients

当边界曲线发生微小的光滑扰动时,本文给出了扰动后的间断系数Riemann边值问题的解的状况,借助核密度具有弱奇性的Cauchy型积分关于积分曲线的稳定性,讨论了间断系数Riemann边值问题的解的稳定性,并给出误差估计.

This paper gives the solutions of the perturbed Riemann boundary value problem with dis- continuous coefficients when the boundary occur smooth perturbation. We discuss the stability of solutions of Riemann boundary value problem with discontinuous coefficients by dint of the stability of Cauchy type integral with Kernel Density of Class H ＊ , and the error estimation is shown.