A uniqueness theorem for linear elliptic equations with dominating derivative with respect to \(\bar z\)
- 作者: Bikchantaev I.1
-
隶属关系:
- Kazan Federal University
- 期: 卷 37, 编号 3 (2016)
- 页面: 231-233
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197599
- DOI: https://doi.org/10.1134/S1995080216030094
- ID: 197599
如何引用文章
详细
The interior uniqueness theorem for analytic functions was generalized by M.B. Balk to the case of polyanalytic functions of order n. He proved that, if the zeros of a polyanalytic function have an accumulation point of order n, then this function is identically zero. M.F. Zuev generalized this result to the case of metaanalytic functions. In this paper, we generalize the interior uniqueness theorem to solutions of linear homogeneous elliptic differential equations of order n with analytic coefficients whose senior derivative is the n-th power of the Cauchy–Riemann operator.
作者简介
I. Bikchantaev
Kazan Federal University
编辑信件的主要联系方式.
Email: ibikchan@kpfu.ru
俄罗斯联邦, Kremlevskaya ul. 18, Kazan, 420008
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