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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 874–891
(Mi smj2370)
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This article is cited in 6 scientific papers (total in 6 papers)
On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy
M. O. Korpusov M. V. Lomonosov Moscow State University, Faculty of Physics, Moscow
Abstract:
We examine an initial-boundary value problem for a generalized Kirchhoff type dissipative wave equation with a source. It is proven that, for a sufficiently large positive energy, some finite time blowup occurs which fact is proven by the modified Levin method.
Keywords:
finite time blowup, generalized Klein–Gordon equation, nonlinear hyperbolic equation, nonlinear mixed boundary value problem, field theory.
Received: 11.07.2011
Citation:
M. O. Korpusov, “On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy”, Sibirsk. Mat. Zh., 53:4 (2012), 874–891; Siberian Math. J., 53:4 (2012), 702–717
Linking options:
https://www.mathnet.ru/eng/smj2370 https://www.mathnet.ru/eng/smj/v53/i4/p874
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