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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 3, Pages 355–369
DOI: https://doi.org/10.4213/tmf6928 (Mi tmf6928) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Blow-up of the solution of a nonlinear system of equations with positive energy

M. O. Korpusov

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (446 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf6928
Abstract: We consider the Dirichlet problem for a nonlinear system of equations, continuing our study of nonlinear hyperbolic equations and systems of equations with an arbitrarily large positive energy. We use a modified Levine method to prove the blow-up.
Keywords: finite-time blow-up, generalized Klein–Gordon equation, nonlinear hyperbolic equation, nonlinear mixed boundary-value problem, field theory.
Received: 09.06.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 3, Pages 725–738
DOI: https://doi.org/10.1007/s11232-012-0070-1
Bibliographic databases:
Language: Russian
Citation: M. O. Korpusov, “Blow-up of the solution of a nonlinear system of equations with positive energy”, TMF, 171:3 (2012), 355–369; Theoret. and Math. Phys., 171:3 (2012), 725–738
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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