Nonexistence of global solutions of the initial-boundary value problem for the nonlinear Klein–Gordon equation

DOI10.1063/1.531154zbMath0826.35116OpenAlexW2001321113MaRDI QIDQ4837384

Emil Minchev, D. D. Bainov

Publication date: 23 November 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531154

zbMATH Keywords

sufficient conditionsnonlinear Klein-Gordon equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes ⋮ A symmetric low-regularity integrator for nonlinear Klein-Gordon equation ⋮ Arbitrarily high-order time-stepping schemes based on the operator spectrum theory for high-dimensional nonlinear Klein-Gordon equations ⋮ On comparison of asymptotic expansion techniques for nonlinear Klein-Gordon equation in the nonrelativistic limit regime ⋮ On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods ⋮ Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime ⋮ Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime ⋮ Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation

Cites Work

• Dispersive blowup of solutions of generalized Korteweg-de Vries equations
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Blow-up theorems for nonlinear wave equations
• Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations

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