Weighted Decay Estimate for the Wave Equation

DOI10.2307/2048732zbMath0732.35041OpenAlexW4252774992MaRDI QIDQ3357562

Vladimir Georgiev, Valéry C. Covachev

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048732

zbMATH Keywords

global existencenonhomogeneous wave equationsystems of wave and Klein-Gordon equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

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• Global solution of the system of wave and Klein-Gordon equations
• \(L^ p\)-decay rates for homogeneous wave-equations
• Decay estimates for the three-dimensional inhomogeneous klein-gordon equation and applications
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Uniform decay estimates and the lorentz invariance of the classical wave equation

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