Lower bound of the time of existence for the nonlinear Klein-Gordon equation in one space dimension
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Publication:1303787
DOI10.1016/S0294-1449(99)80028-6zbMath0937.35160OpenAlexW2025949840MaRDI QIDQ1303787
Publication date: 21 November 1999
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1999__16_5_563_0
asymptotic solutionapproximate solutionquadratic nonlinearityCauchy dataexistence timesemilinear Klein-Gordon
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Cites Work
- Lectures on nonlinear hyperbolic differential equations
- Normal forms and global existence of solutions to a class of cubic nonlinear Klein-Gordon equations in one space dimension
- The Cauchy problem for nonlinear Klein-Gordon equations
- Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions
- Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
- Normal forms and quadratic nonlinear Klein-Gordon equations
- Almost global existence to nonlinear wave equations in three space dimensions
- Global solutions of nonlinear hyperbolic equations for small initial data
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Decay estimates for the Klein ndesh Gordon equation
- Global existence for nonlinear wave equations
- Explosion des solutions d'une équation d'ondes quasi-linéaire en deux dimensions d'espace
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