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Izvestiya: Mathematics, 2013, Volume 77, Issue 2, Pages 325–353
DOI: https://doi.org/10.1070/IM2013v077n02ABEH002638 (Mi im7947) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Blow-up of solutions of strongly dissipative generalized Klein–Gordon equations

M. O. Korpusov

M. V. Lomonosov Moscow State University, Faculty of Physics
English version PDF (376 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM2013v077n02ABEH002638
Abstract: We study the question of sufficient conditions for blow-up of solutions of a model initial-boundary value problem. We use a modified form of Levine's method to obtain sufficient conditions for blow-up in finite time.
Keywords: blow-up, non-linear Klein–Gordon equations, Sobolev-type equations.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-00376-а
Ministry of Education and Science of the Russian Federation МД-99.2009.1
Received: 23.12.2011
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2013, Volume 77, Issue 2, Pages 109–138
DOI: https://doi.org/10.4213/im7947
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 35M13, 35B44
Language: English
Original paper language: Russian
Citation: M. O. Korpusov, “Blow-up of solutions of strongly dissipative generalized Klein–Gordon equations”, Izv. RAN. Ser. Mat., 77:2 (2013), 109–138; Izv. Math., 77:2 (2013), 325–353
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2013v077n02ABEH002638
  • https://www.mathnet.ru/eng/im/v77/i2/p109
    • This publication is cited in the following 6 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:231
    English version PDF:19
    References:88
    First page:48
     
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