Lower bound of the time of existence for the nonlinear Klein-Gordon equation in one space dimension

DOI10.1016/S0294-1449(99)80028-6zbMath0937.35160OpenAlexW2025949840MaRDI QIDQ1303787

Jean-Marc Delort

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

zbMATH Keywords

asymptotic solutionapproximate solutionquadratic nonlinearityCauchy dataexistence timesemilinear Klein-Gordon

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items

Energy decay for small solutions to semilinear wave equations with weakly dissipative structure, The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension, On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension, On global small amplitude solutions to systems of cubic nonlinear Klein--Gordon equations with different mass terms in one space dimension, Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations, Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1, Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data, The 𝒫(𝜑)₂ Model on de Sitter Space

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item