Large time behavior of solutions to semilinear systems of wave equations

DOI10.1007/S00208-006-0763-6zbMath1114.35129OpenAlexW2080392333MaRDI QIDQ2494347

Hideaki Sunagawa, Hideo Kubo, Kôji Kubota

Publication date: 26 June 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-006-0763-6

zbMATH Keywords

radially symmetric solutionsmall global solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (9)

Life span of small solutions to a system of wave equations ⋮ Improvement on the blow-up for the weakly coupled wave equations with scale-invariant damping and time derivative nonlinearity ⋮ A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type ⋮ Blow‐up and lifespan estimates for Nakao's type problem with nonlinearities of derivative type ⋮ Global existence and lifespan for semilinear wave equations with mixed nonlinear terms ⋮ Improvement on the blow-up for a weakly coupled wave equations with scale-invariant damping and mass and time derivative nonlinearity ⋮ Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms ⋮ Blow-up phenomena of semilinear wave equations and their weakly coupled systems ⋮ Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case

Cites Work

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• Asymptotic behavior of classical solutions to a system of semilinear wave equations in low space dimensions

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