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Hilbert边值逆问题关于边界曲线的稳定性

DOI: 10.11830/ISSN.1000-5013.2014.03.0349

Keywords: Hilbert边值逆问题, 扰动, 稳定性, 共形变换

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Abstract:

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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