On the Global Behavior of Classical Solutions to Coupled Systems of Semilinear Wave Equations

DOI10.1007/3-7643-7386-5_2zbMath1103.35078OpenAlexW2114446402MaRDI QIDQ5703550

Masahito Ohta, Hideo Kubo

Publication date: 8 November 2005

Published in: New Trends in the Theory of Hyperbolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-7643-7386-5_2

zbMATH Keywords

asymptotic behaviorself-similar solutionsblow-upglobal solutionslifespannonlinear hyperbolic systemsscale transform

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Perturbations in context of PDEs (35B20)

Related Items (7)

Global existence to the initial-boundary value problem for a system of semilinear wave equations ⋮ Critical exponent for nonlinear damped wave equations with non-negative potential in 3D ⋮ Global existence for a coupled wave system related to the Strauss conjecture ⋮ Blow-up for Strauss type wave equation with damping and potential ⋮ The Cauchy problem for an abstract second order ordinary differential equation ⋮ The influence of oscillations on global existence for a class of semi-linear wave equations ⋮ On the critical decay for the wave equation with a cubic convolution in 3D

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