Hilbert边值逆问题关于边界曲线的稳定性  

On Stability of Inverse Hilbert Boundary Value Problem with Respect to Path of Boundary

作　　者：陈红梅[1] 林峰[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2014年第3期349-353,共5页Journal of Huaqiao University(Natural Science)

摘　　要：当边界曲线发生微小的光滑扰动时,给出指标大于等于零时Hilbert边值逆问题解的状况.借助共形变换理论给出其中解的表达式,并讨论Hilbert边值逆问题解的稳定性,以及给出相应的误差估计.Using the knowledge of conformal mapping theorem, we discuss the solvability of inverse Hilbert boundary value problem under the small perturbation of boundary curve. When the index of this problem is non-negative, the repre- sentations of the solutions are obtained. We also show the solutions are stable, and give the corresponding error esti- mates.

关 键 词：Hilbert边值逆问题 扰动 稳定性 共形变换 

分 类 号：O175.8[理学—数学]