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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 10, Pages 1775–1779
DOI: https://doi.org/10.7868/S0044466916100124 (Mi zvmmf10473) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Blowup of the solution to the Cauchy problem with arbitrary positive energy for a system of Klein–Gordon equations in the de Sitter metric

M. O. Korpusov, S. G. Mikhailenko

Faculty of Physics, Moscow State University, Moscow, Russia
Full-text PDF (121 kB) Citations (2)
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DOI: https://doi.org/10.7868/S0044466916100124
Abstract: The $\phi^4$ model of a scalar (complex) field in the metric of an expanding universe, namely, in the de Sitter metric is considered. The initial energy of the system can have an arbitrarily high positive value. Sufficient conditions for solution blowup in a finite time are obtained. The existence of blowup is proved by applying H.A. Levine's modified method is used.
Key words: finite-time blowup, generalized Klein–Gordon equations, nonlinear hyperbolic equations, nonlinear mixed boundary value problems, field theory.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-12018_офи_м
Received: 14.12.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 10, Pages 1758–1762
DOI: https://doi.org/10.1134/S0965542516100122
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: M. O. Korpusov, S. G. Mikhailenko, “Blowup of the solution to the Cauchy problem with arbitrary positive energy for a system of Klein–Gordon equations in the de Sitter metric”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016), 1775–1779; Comput. Math. Math. Phys., 56:10 (2016), 1758–1762
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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