| Hilbert边值逆问题关于边界曲线的稳定性 |
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| 引用本文： | 陈红梅,林峰. Hilbert边值逆问题关于边界曲线的稳定性[J]. 华侨大学学报(自然科学版), 2014, 0(3): 349-353. DOI: 10.11830/ISSN.1000-5013.2014.03.0349 |
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| 作者姓名： | 陈红梅 林峰 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 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.
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| 关 键 词： | Hilbert边值逆问题 扰动 稳定性 共形变换 |
On Stability of Inverse Hilbert Boundary Value Problem with Respect to Path of Boundary |
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| CHEN Hong-mei;LIN Feng. On Stability of Inverse Hilbert Boundary Value Problem with Respect to Path of Boundary[J]. Journal of Huaqiao University(Natural Science), 2014, 0(3): 349-353. DOI: 10.11830/ISSN.1000-5013.2014.03.0349 |
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| Authors: | CHEN Hong-mei LIN Feng |
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| Affiliation: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | 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 representations of the solutions are obtained. We also show the solutions are stable, and give the corresponding error estimates. |
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| Keywords: | inverse Hilbert boundary value problem perturbation stability conformal transformation |
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