用于调和函数的二次曲线的独特持续 (Unique Continuation on Quadratic Curves for Harmonic Functions)

The unique continuation on quadratic curves for harmonic functions is discussed in this paper. By using complex extension method, the conditional stability of unique continuation along quadratic curves for harmonic functions is illustrated. The numerical algorithm is provided based on collocation method and Tikhonov regularization. The stability estimates on parabolic and hyperbolic curves for harmonic functions are demonstrated by numerical examples respectively.

翻译：本文讨论了口音功能二次曲线上独有的延续性。通过使用复杂的扩展方法,可以说明在口音功能二次曲线上独有的延续性有条件的稳定性。数字算法是根据合用同一地点的方法和Tikhonov正规化提供的。对双曲和双曲曲线的稳定性估计值分别用数字示例来说明。

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