This article is cited in 3 papers

Uniqueness theorem for linear elliptic equation of the second order with constant coefficients

I. A. Bikchantaev

Kazan Federal University, 18 Kremlovskaya str., Kazan, 420008 Russia

Abstract: 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. In this paper the interior uniqueness theorem is generalized to the solution of a linear homogeneous second order differential equation of elliptic type with constant coefficients.

Keywords: elliptic equation, uniqueness theorem.

UDC: 517.956

Received: 02.02.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:7, 11–14

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