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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 41, Issue 1, Pages 95–132
DOI: https://doi.org/10.1070/IM1993v041n01ABEH002253 (Mi im928) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Averaging of quasilinear parabolic equations with rapidly oscillating principal part. Exponential dichotomy

V. B. Levenshtam

Rostov State University
English version PDF (1541 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/IM1993v041n01ABEH002253
Abstract: The first part of this article is an investigation of the question of preservation of an exponential dichotomy for solutions of a linear parabolic equation upon a high-frequency perturbation of its principal terms. The second part contains a justification of the averaging principle on the whole time axis for quasilinear parabolic equations with rapidly oscillating principal part.
Received: 25.06.1990
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 4, Pages 813–851
Bibliographic databases:
UDC: 519.4+513.88
MSC: Primary 35K30, 35K55; Secondary 35B20, 34C29
Language: English
Original paper language: Russian
Citation: V. B. Levenshtam, “Averaging of quasilinear parabolic equations with rapidly oscillating principal part. Exponential dichotomy”, Izv. RAN. Ser. Mat., 56:4 (1992), 813–851; Russian Acad. Sci. Izv. Math., 41:1 (1993), 95–132
Citation in format AMSBIB
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\by V.~B.~Levenshtam
\paper Averaging of quasilinear parabolic equations with rapidly oscillating principal part. Exponential dichotomy
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 4
\pages 813--851
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1208152}
\zmath{https://zbmath.org/?q=an:0795.35041}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..41...95L}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 1
\pages 95--132
\crossref{https://doi.org/10.1070/IM1993v041n01ABEH002253}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LZ84700005}
Linking options:
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  • https://doi.org/10.1070/IM1993v041n01ABEH002253
  • https://www.mathnet.ru/eng/im/v56/i4/p813
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:316
    Russian version PDF:108
    English version PDF:5
    References:29
    First page:3
     
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