Geodesic
Non-existence of global solutions to generalized dissipative Klein-Gordon equations with positive energy
Electronic journal of differential equations, Tome 2012 (2012)
In this article the initial-boundary-value problem for generalized dissipative high-order equation of Klein-Gordon type is considered. We continue our study of nonlinear hyperbolic equations and systems with arbitrary positive energy. The modified concavity method by Levine is used for proving blow-up of solutions.
Classification : 35B44, 35L05, 35L25, 35L67
Keywords: blow-up, wave equation, shocks and singularities 
@article{EJDE_2012__2012__a58,
     author = {Korpusov,  Maxim Olegovich},
     title = {Non-existence of global solutions to generalized dissipative {Klein-Gordon} equations with positive energy},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1254.35030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a58/}
}
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TI  - Non-existence of global solutions to generalized dissipative Klein-Gordon equations with positive energy
JO  - Electronic journal of differential equations
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VL  - 2012
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%A Korpusov,  Maxim Olegovich
%T Non-existence of global solutions to generalized dissipative Klein-Gordon equations with positive energy
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a58/
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%F EJDE_2012__2012__a58
Korpusov,  Maxim Olegovich. Non-existence of global solutions to generalized dissipative Klein-Gordon equations with positive energy. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a58/