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Trudy MIAN, 2014, Volume 285, Pages 107–127
(Mi tm3554)
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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
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.
DOI:
https://doi.org/10.1134/S0371968514020083
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English version:
Proceedings of the Steklov Institute of Mathematics, 2014, 285, 99–119
Bibliographic databases:
UDC:
517.5 Received in September 2013
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 MIAN, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 107–127; Proc. Steklov Inst. Math., 285 (2014), 99–119
Citation in format AMSBIB
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\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 MIAN
\yr 2014
\vol 285
\pages 107--127
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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http://mi.mathnet.ru/eng/tm3554https://doi.org/10.1134/S0371968514020083 http://mi.mathnet.ru/eng/tm/v285/p107
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This publication is cited in the following articles:
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Yu. N. Drozhzhinov, “Asymptotically homogeneous generalized functions and some of their applications”, Proc. Steklov Inst. Math., 301 (2018), 65–81
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