Email this article Basis Property of the Eigenfunction System of the Gellerstedt Problem in the Elliptic Part of the Domain
- Authors: Moiseev E.I.1,2, Moiseev T.E.1, Kholomeeva A.A.1,2
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Affiliations:
- Lomonosov Moscow State University
- Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
- Issue: Vol 54, No 3 (2018)
- Pages: 413-416
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154720
- DOI: https://doi.org/10.1134/S0012266118030126
- ID: 154720
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Abstract
The Gellerstedt eigenvalue problem with homogeneous boundary conditions on interior characteristics is studied. We prove that the eigenfunction system of this problem is a Riesz basis in the L2 space in the elliptic domain.
About the authors
E. I. Moiseev
Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
Author for correspondence.
Email: cmc@cs.msu.ru
Russian Federation, Moscow, 119991; Moscow, 119333
T. E. Moiseev
Lomonosov Moscow State University
Email: cmc@cs.msu.ru
Russian Federation, Moscow, 119991
A. A. Kholomeeva
Lomonosov Moscow State University; Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
Email: cmc@cs.msu.ru
Russian Federation, Moscow, 119991; Moscow, 119333
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