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| Unique Continuation on Quadratic Curves for Harmonic Functions* |
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Citation： |
Yufei KE,Yu CHEN.Unique Continuation on Quadratic Curves for Harmonic Functions*[J].Chinese Annals of Mathematics B,2022,43(1):17~32 |
| Page view： 339
Net amount： 265 |
Authors： |
Yufei KE; Yu CHEN |
Foundation： |
National Natural Science Foundation of China (No. 11971121). |
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| Abstract： |
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. |
Keywords： |
Unique continuation, Quadratic curves, Harmonic function |
Classification： |
65N21, 35J05 |
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