Geodesic
Non-existence of global solutions to generalized dissipative Klein-Gordon equations with positive energy
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a58/}
}
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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/