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

DOI10.1007/s11232-012-0070-1zbMath1282.35353OpenAlexW1997953845MaRDI QIDQ2636632

M. O. Korpusov

Publication date: 30 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-012-0070-1

zbMATH Keywords

generalized Klein-Gordon equationfield theoryfinite-time blow-upnonlinear hyperbolic equationnonlinear mixed boundary-value problem

Mathematics Subject Classification ID

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

Related Items (15)

Well-posedness issues for some critical coupled non-linear Klein-Gordon equations ⋮ Non-existence of global solutions to nonlinear wave equations with positive initial energy ⋮ Uniform decay and blow-up of solutions for coupled nonlinear Klein-Gordon equations with nonlinear damping terms ⋮ Pseudo hyperbolic equations with degeneracy: existence and uniqueness of solutions ⋮ Blow-up of the solution to the equation for nonlinear beam vibrations with allowance for transverse deformation effects ⋮ Blow‐up of solutions of wave equation with a nonlinear boundary condition and interior focusing source of variable order of growth ⋮ Blow up of solutions of systems of nonlinear equations of thermoelasticity ⋮ Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein-Gordon equation ⋮ Unnamed Item ⋮ On the decay and blow-up of solution for coupled nonlinear wave equations with nonlinear damping and source terms ⋮ Blow-up of solutions of a mixed problem for systems of wave equations with boundary dissipation and with an interior nonlinear focusing source of variable growth order ⋮ Blow-up of solutions to semilinear nonautonomous wave equations with Robin boundary conditions ⋮ Mixed problem for systems of hyperbolic equations with nonlinear boundary dissipation and a nonlinear source of variable growth order ⋮ Blow-up of solutions of coupled parabolic systems and hyperbolic equations ⋮ Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level

Cites Work

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• Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
• On the standing wave in coupled non-linear Klein-Gordon equations
• Blow-up of Oskolkov's system of equations
• Critical nonlinearities in partial differential equations

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