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Eurasian Mathematical Journal, 2019, Volume 10, Number 1, Pages 9–15
DOI: https://doi.org/10.32523/2077-9879-2019-10-1-09-15 (Mi emj319) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On index stability of Noetherian differential operators in anisotropic Sobolev spaces

A. Darbinyan, A. Tumanyan

Department of Mathematics and Mathematical Modeling, Russian-Armenian (Slavonic) University, 123 Hovsep Emin St, Yerevan, Armenia
Full-text PDF (408 kB) Citations (4)
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DOI: https://doi.org/10.32523/2077-9879-2019-10-1-09-15
Abstract: In this paper index stability is studied for differential operators perturbed by lower order terms. Conditions are established under which lower order terms do not affect the index of Noetherian operators, acting in anisotropic Sobolev spaces on $\mathbb{R}^m$. Obtained result is applied to investigation of Noethericity and index of semi-elliptic operators.
Keywords and phrases: index of operator, Noetherian operator, index stability, anisotropic Sobolev space.
Funding agency Grant number
Ministry of Education and Science of the Republic of Armenia SCS 15T-1A197
18RF-004
This work was supported in part by the Science Committee of the Ministry of Education and Science of Armenia under Thematic Programme no. SCS 15T-1A197 and jointly by Russian Foundation for Basic Research under Thematic Programme no. 18RF-004.
Received: 26.07.2016
Revised: 14.03.2019
Bibliographic databases:
Document Type: Article
MSC: 35H30, 47A53
Language: English
Citation: A. Darbinyan, A. Tumanyan, “On index stability of Noetherian differential operators in anisotropic Sobolev spaces”, Eurasian Math. J., 10:1 (2019), 9–15
Citation in format AMSBIB
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\by A.~Darbinyan, A.~Tumanyan
\paper On index stability of Noetherian differential operators in anisotropic Sobolev spaces
\jour Eurasian Math. J.
\yr 2019
\vol 10
\issue 1
\pages 9--15
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    • This publication is cited in the following 4 articles:
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