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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 5, Pages 17–21 (Mi ivm8995)  

This article is cited in 5 scientific papers (total in 5 papers)

On one inner theorem of uniqueness for linear elliptic second order equation with constant coefficients

I. A. Bikchantaev

Chair of Differential Equations, Kazan (Volga Region) Federal University, 18 Kremlovskaya str., Kazan, 420008 Russia
Full-text PDF (159 kB) Citations (5)
References:
Abstract: We consider a linear elliptic second order differential equation. We prove that its solution $f$ is identical to zero if zeros of $f$ are condensed to two points along the non-collinear rays. We construct an example that shows that the requirement of non-collinearity of the rays is essential if the roots of the characteristic equation are distinct. In the case of equal roots of the characteristic equation this property will be true if and only if the rays do not belong to a straight line.
Keywords: elliptic equation, uniqueness theorem.
Received: 13.12.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 5, Pages 13–16
DOI: https://doi.org/10.3103/S1066369X15050023
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: I. A. Bikchantaev, “On one inner theorem of uniqueness for linear elliptic second order equation with constant coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 5, 17–21; Russian Math. (Iz. VUZ), 59:5 (2015), 13–16
Citation in format AMSBIB
\Bibitem{Bik15}
\by I.~A.~Bikchantaev
\paper On one inner theorem of uniqueness for linear elliptic second order equation with constant coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 5
\pages 17--21
\mathnet{http://mi.mathnet.ru/ivm8995}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 5
\pages 13--16
\crossref{https://doi.org/10.3103/S1066369X15050023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928609052}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:151
    Full-text PDF :46
    References:38
    First page:11
     
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