Blowup of a positive-energy solution of model wave equations in nonlinear dynamics

DOI10.1007/s11232-012-0041-6zbMath1274.81082OpenAlexW2001485412MaRDI QIDQ378544

M. O. Korpusov

Publication date: 12 November 2013

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

Full work available at URL: https://doi.org/10.1007/s11232-012-0041-6

zbMATH Keywords

generalized Klein-Gordon equationfield theoryfinite-time blowupnonlinear mixed boundary value problemnonlinear hyperbolic equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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Nonexistence of global solutions of abstract wave equations with high energies ⋮ Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients ⋮ Sign-preserving functionals and blow-up to Klein–Gordon equation with arbitrary high energy ⋮ Nonexistence of global solutions to new ordinary differential inequality and applications to nonlineardispersive equations ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with supercritical energy ⋮ Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy

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