Unique Continuation on Quadratic Curves for Harmonic Functions
Numerical Analysis
2021-10-22 v1 Numerical Analysis
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
Cite
@article{arxiv.2110.11147,
title = {Unique Continuation on Quadratic Curves for Harmonic Functions},
author = {Yufei Ke and Yu Chen},
journal= {arXiv preprint arXiv:2110.11147},
year = {2021}
}