Geodesic
Uniqueness theorem for linear elliptic equation of the second order with constant coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2017), pp. 14-18

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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.
Mots-clés : elliptic equation
Keywords: uniqueness theorem. 
@article{IVM_2017_7_a1,
     author = {I. A. Bikchantaev},
     title = {Uniqueness theorem for linear elliptic equation of the second order with constant coefficients},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {14--18},
     publisher = {mathdoc},
     number = {7},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_7_a1/}
}
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I. A. Bikchantaev. Uniqueness theorem for linear elliptic equation of the second order with constant coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2017), pp. 14-18. http://geodesic.mathdoc.fr/item/IVM_2017_7_a1/