Global existence for systems of wave equations with nonresonant nonlinearities and null forms

DOI10.1016/j.jde.2004.09.012zbMath1082.35099OpenAlexW2046406307MaRDI QIDQ1763789

Soichiro Katayama

Publication date: 22 February 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.09.012

zbMATH Keywords

Multiple speedsSmall amplitude solutions

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (9)

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 of null-form wave equations in exterior domains ⋮ 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 ⋮ The almost global and global existence for quasi-linear wave equations with multiple-propagation speeds in high dimensions ⋮ The lifespan for quasi-linear wave equations with multiple-speeds in space dimensions \(n\geq 3\) ⋮ Global existence of null-form wave equations on small asymptotically Euclidean manifolds ⋮ Global stability for nonlinear wave equations with multi-localized initial data

Cites Work

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• Global existence for systems of nonlinear wave equations in two space dimensions
• Nonresonance and global existence of prestressed nonlinear elastic waves
• Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions
• Global existence for a class of systems of nonlinear wave equations in three space dimensions
• Resonance-type behaviour in a system of nonlinear wave equations
• Global existence for systems of nonlinear wave equations in two space dimensions. II
• Global and almost-global existence for systems of nonlinear wave equations with different propagation speeds.
• Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
• The null condition for quasilinear wave equations in two space dimensions, II
• Lifespan of solutions of semilinear wave equations in two space dimensions
• Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions
• Global solutions of nonlinear hyperbolic equations for small initial data
• Lower bounds for the life span of solutions of nonlinear wave equations in three dimensions
• Global Small Amplitude Solutions of Nonlinear Hyperbolic Systems with a Critical Exponent under the Null Condition
• On the lifespan of solutions of nonlinear wave equations with small initial data
• The null condition for quasilinear wave equations in two space dimensions. I

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