Electron. J. Diff. Equ., Vol. 2012 (2012), No. 119, pp. 1-10.

Non-existence of global solutions to generalized dissipative Klein-Gordon equations with positive energy

Maxim Olegovich Korpusov

Abstract: 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.

Submitted February 14, 2012. Published July 19, 2012.
Math Subject Classifications: 35B44, 35L05, 35L25, 35L67.
Key Words: Blow-up; wave equation; shocks and singularities.

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Maxim Olegovich Korpusov
Chair of Mathematics, Faculty of Physics
M. V. Lomonosov Moscow State University
Moscow, Russia
email: korpusov@gmail.com

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