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Korpusov, M. O.

Blow-up of the solution of a nonlinear system of equations with positive energy. (English. Russian original) Zbl 1282.35353

Theor. Math. Phys. 171, No. 3, 725-738 (2012); translation from Teor. Mat. Fiz. 171, No. 3, 355-369 (2012).
Summary: 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.

Cited in 15 Documents

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
35B44 Blow-up in context of PDEs

Keywords:

finite-time blow-up; generalized Klein-Gordon equation; nonlinear hyperbolic equation; nonlinear mixed boundary-value problem; field theory
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References:

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