Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds

zbMath1195.35225MaRDI QIDQ874831

Kazuyoshi Yokoyama, Soichiro Katayama

Publication date: 10 April 2007

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

three space dimensionsquadratic nonlinearities

Mathematics Subject Classification ID

Higher-order hyperbolic systems (35L55) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Related Items (10)

Global existence for systems of nonlinear wave and Klein-Gordon equations with compactly supported initial data ⋮ Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions ⋮ Global existence for coupled Klein-Gordon equations with different speeds ⋮ 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 ⋮ Global existence of null-form wave equations on small asymptotically Euclidean manifolds ⋮ An alternative proof of global existence for nonlinear wave equations in an exterior domain ⋮ Unique determination of sound speeds for coupled systems of semi-linear wave equations ⋮ Global stability for nonlinear wave equations with multi-localized initial data ⋮ Space-Time Resonances and the Null Condition for First-Order Systems of Wave Equations

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