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Izvestiya: Mathematics, 2013, Volume 77, Issue 2, Pages 313–324
DOI: https://doi.org/10.1070/IM2013v077n02ABEH002637 (Mi im7957) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation

E. I. Kaikinaa, P. I. Naumkina, I. A. Shishmarevb

a National Autonomous University of Mexico, Institute of Mathematics
b M. V. Lomonosov Moscow State University
English version PDF (256 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM2013v077n02ABEH002637
Abstract: We study the long-time behaviour of solutions to the periodic problem for a non-linear Sobolev-type equation. In the case of non-small initial perturbations we get estimates for the decay as a function of time. In the case of small initial data we prove an asymptotic formula for solutions to the periodic problem for a non-linear Sobolev-type equation.
Keywords: Sobolev-type equations, periodic problem, asymptotic behaviour.
Received: 17.01.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2013, Volume 77, Issue 2, Pages 97–108
DOI: https://doi.org/10.4213/im7957
Bibliographic databases:
Document Type: Article
UDC: 517.956.8+517.953
MSC: 35B40, 35K61
Language: English
Original paper language: Russian
Citation: E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation”, Izv. RAN. Ser. Mat., 77:2 (2013), 97–108; Izv. Math., 77:2 (2013), 313–324
Citation in format AMSBIB
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\paper Asymptotic expansion of solutions to the periodic problem for a~non-linear Sobolev-type equation
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  • https://www.mathnet.ru/eng/im/v77/i2/p97
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:188
    English version PDF:9
    References:68
    First page:34
     
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