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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 285, Pages 107–127
DOI: https://doi.org/10.1134/S0371968514020083 (Mi tm3554) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a multiplicative one-parameter group

Yu. N. Drozhzhinov, B. I. Zavialov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (271 kB) Citations (1)
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DOI: https://doi.org/10.1134/S0371968514020083
Abstract: We study solutions to partial differential equations with homogeneous polynomial symbols with respect to a multiplicative one-parameter transformation group such that all eigenvalues of the infinitesimal matrix are positive. The infinitesimal matrix may contain a nilpotent part. In the asymptotic scale of regularly varying functions, we find conditions under which such differential equations have asymptotically homogeneous solutions in the critical case.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00065
Ministry of Education and Science of the Russian Federation NSh-864.2014.1
This work was supported in part by the Russian Foundation for Basic Research (project no. 13-01-00065) and by a grant of the President of the Russian Federation (project no. NSh-864.2014.1).
Received in September 2013
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 285, Pages 99–119
DOI: https://doi.org/10.1134/S0081543814040087
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: Yu. N. Drozhzhinov, B. I. Zavialov, “Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a multiplicative one-parameter group”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Trudy Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 107–127; Proc. Steklov Inst. Math., 285 (2014), 99–119
Citation in format AMSBIB
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\by Yu.~N.~Drozhzhinov, B.~I.~Zavialov
\paper Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a~multiplicative one-parameter group
\inbook Selected topics of mathematical physics and analysis
\bookinfo Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth
\serial Trudy Mat. Inst. Steklova
\yr 2014
\vol 285
\pages 107--127
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3554}
\crossref{https://doi.org/10.1134/S0371968514020083}
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\jour Proc. Steklov Inst. Math.
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\pages 99--119
\crossref{https://doi.org/10.1134/S0081543814040087}
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  • https://doi.org/10.1134/S0371968514020083
  • https://www.mathnet.ru/eng/tm/v285/p107
    • This publication is cited in the following 1 articles:
    1. Yu. N. Drozhzhinov, “Asymptotically homogeneous generalized functions and some of their applications”, Proc. Steklov Inst. Math., 301 (2018), 65–81  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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