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Matematicheskie Zametki, 2018, Volume 104, Issue 6, Pages 895–911
DOI: https://doi.org/10.4213/mzm11547 (Mi mzm11547) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Semigroup Classification and Gelfand–Shilov Classification of Systems of Partial Differential Equations

I. V. Mel'nikova, U. A. Alekseeva

Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Full-text PDF (634 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11547
Abstract: Two approaches to systems of linear partial differential equations are considered: the traditional approach based on the generalized Fourier transform and the semigroup approach, under which the system is considered as a particular case of an operator-differential equation. For these systems, the semigroup classification and the Gelfand–Shilov classification are compared.
Keywords: semigroup of operators, Fourier transform, system of partial differential equations, abstract Cauchy problem, distribution.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.А03.21.0006
This work was supported by Regulation no. 211 of the Government of the Russian Federation (contract no. 02.A03.21.0006).
Received: 03.02.2017
Revised: 30.12.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 6, Pages 886–899
DOI: https://doi.org/10.1134/S0001434618110329
Bibliographic databases:
Document Type: Article
UDC: 517.983+517.982.4+517.95
Language: Russian
Citation: I. V. Mel'nikova, U. A. Alekseeva, “Semigroup Classification and Gelfand–Shilov Classification of Systems of Partial Differential Equations”, Mat. Zametki, 104:6 (2018), 895–911; Math. Notes, 104:6 (2018), 886–899
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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