Uniqueness theorem for linear elliptic equation of the second order with constant coefficients |
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Authors: | I. A. Bikchantaev |
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Affiliation: | 1.Kazan Federal University,Kazan,Russia |
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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 to a linear homogeneous second order differential equation of elliptic type with constant coefficients. |
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