Life–span of classocal solutions to fully nonlinear wave equations
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Publication:3978006
DOI10.1080/03605309108820785zbMath0743.35011OpenAlexW1994253880MaRDI QIDQ3978006
Publication date: 25 June 1992
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309108820785
Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)
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Cites Work
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- On the classical solvability of the Cauchy problem for nonlinear wave equations with small initial values and the asymptotic behavior of the solutions
- Global behavior of solutions to nonlinear wave equations in three dimensions
- On “almost global” solutions to quasilinear wave equations in three space dimensions
- Almost global existence to nonlinear wave equations in three space dimensions
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Long‐time behaviour of solutions of a system of nonlinear wave equations
- Blow-up for quasi-linear wave equations in three space dimensions
- Lower bounds for the life span of solutions of nonlinear wave equations in three dimensions
- On the lifespan of solutions of nonlinear wave equations with small initial data
