Life-span of classical solutions to fully nonlinear wave equations—II

DOI10.1016/0362-546X(92)90054-IzbMath0798.35104MaRDI QIDQ4695750

Yi Zhou, Ta-Tsien Li

Publication date: 29 June 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

quasilinear wave equationvon Wahl's inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic equations (35L25)

Related Items (11)

Life-span of classical solutions to two dimensional fully nonlinear wave equations ⋮ Global existence for systems of nonlinear wave equations in two space dimensions. II ⋮ The rescaling method for some quasilinear wave equations with the divergence forms of the nonlinearity ⋮ The Lifespan for Nonlinear Wave Equation Outside of Star-Shaped Obstacle in Three Space Dimensions ⋮ Global existence of timelike minimal surface of general co-dimension in Minkowski space time ⋮ The lifespan for nonlinear wave equations with multiple propagation speeds in 3D ⋮ Global existence of classical solutions to the minimal surface equation with slow decay initial value ⋮ Global existence of classical solutions to the minimal surface equation in two space dimensions with slow decay initial value ⋮ 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 \(n\geq 3\) ⋮ The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals

Cites Work

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• On the classical solvability of the Cauchy problem for nonlinear wave equations with small initial values and the asymptotic behavior of the solutions
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Initial value problems for nonlinear wave equations
• Life–span of classocal solutions to fully nonlinear wave equations
• Global existence for nonlinear wave equations
• On the lifespan of solutions of nonlinear wave equations with small initial data

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