Global and almost-global existence for systems of nonlinear wave equations with different propagation speeds.

zbMath1150.35492MaRDI QIDQ2426214

Soichiro Katayama

Publication date: 21 April 2008

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

nonlinear wave equationclassical solutionsmall data

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70)

Related Items (8)

Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions ⋮ The lifespan for quasilinear wave equations with multiple propagation speeds in four space dimensions ⋮ Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions ⋮ Lifespan for radially symmetric solutions to systems of semilinear wave equations with multiple speeds ⋮ The lifespan for nonlinear wave equations with multiple propagation speeds in 3D ⋮ Global existence for systems of wave equations with nonresonant nonlinearities and null forms ⋮ An alternative proof of global existence for nonlinear wave equations in an exterior domain ⋮ Global stability for nonlinear wave equations with multi-localized initial data

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