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Eurasian Mathematical Journal, 2010, Volume 1, Number 2, Pages 99–109 (Mi emj20)  
This article is cited in 2 scientific papers (total in 2 papers)

On asymptotic decay of the eigenfunctions of elliptic operators

V. G. Kurbatov

Lipetsk State Technical University, Lipetsk, Russia
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Abstract: It is known that eigenfunctions of many elliptic operators such as Schrödinger operators decrease exponentially. It this paper we suggest a different idea of the proof of this fact. This idea is based on a special transformation $\Psi_\varepsilon$.
Keywords and phrases: eigenfunctions of elliptic operators, asymptotic decay.
Received: 07.01.2010
Bibliographic databases:
Document Type: Article
MSC: 35J10, 35P99
Language: English
Citation: V. G. Kurbatov, “On asymptotic decay of the eigenfunctions of elliptic operators”, Eurasian Math. J., 1:2 (2010), 99–109
Citation in format AMSBIB
\Bibitem{Kur10}
\by V.~G.~Kurbatov
\paper On asymptotic decay of the eigenfunctions of elliptic operators
\jour Eurasian Math. J.
\yr 2010
\vol 1
\issue 2
\pages 99--109
\mathnet{http://mi.mathnet.ru/emj20}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2905175}
\zmath{https://zbmath.org/?q=an:1219.35052}
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  • https://www.mathnet.ru/eng/emj/v1/i2/p99
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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