This article is cited in 11 papers

Blow-up of the solution of a nonlinear system of equations with positive energy

M. O. Korpusov

M. V. Lomonosov Moscow State University, Moscow, Russia

Abstract: 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.

Received: 09.06.2011

DOI: 10.4213/tmf6928

 English version: Theoretical and Mathematical Physics, 2012, 171:3, 725–738

Bibliographic databases:

• 
• 
• 
• 
• 
•