Global Oscillatory Waves for Second Order Quasilinear Wave Equations

DOI10.2307/2154859zbMath0811.35084OpenAlexW4253051894MaRDI QIDQ4321207

Paul Godin

Publication date: 8 May 1995

Full work available at URL: https://doi.org/10.2307/2154859

zbMATH Keywords

oscillatory solutionsscalar second order quasilinear wave equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (1)

Validity of nonlinear geometric optics with times growing logarithmically

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• Global sound waves for quasilinear second order wave equations
• Long time existence of piecewise smooth progressing waves for semilinear wave equations
• Global solutions of nonlinear hyperbolic equations for small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Initial value problems for nonlinear wave equations
• Global existence for nonlinear wave equations
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