Geodesic
Blow-up of the~solution of a~nonlinear system of equations with
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 3, pp. 355-369

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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. 
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     title = {Blow-up of the~solution of a~nonlinear system of equations with},
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M. O. Korpusov. Blow-up of the~solution of a~nonlinear system of equations with. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 3, pp. 355-369. http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a0/