A quadratic quasi-linear Klein-Gordon equation in two space dimensions

DOI10.1007/s00028-013-0177-3zbMath1275.35148OpenAlexW2074236943MaRDI QIDQ358598

Nakao Hayashi, Pavel I. Naumkin

Publication date: 9 August 2013

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-013-0177-3

zbMATH Keywords

small initial dataquadratic nonlinearityasymptotic decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Unnamed Item
• Unnamed Item
• \(L^p-L^q\) estimates for the Klein-Gordon equation
• The unit condition and global existence for a class of nonlinear Klein- Gordon equations
• On global small amplitude solutions to systems of cubic nonlinear Klein--Gordon equations with different mass terms in one space dimension
• A note on global existence of solutions to nonlinear Klein-Gordon equations in one space dimension
• Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions
• Scattering Problem for Quadratic Nonlinear Klein–Gordon Equation in 2D
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• Global solution to the two–dimensional klein–gordon equation
• Decay estimates for the Klein ndesh Gordon equation
• Stability of Constant Equilibrium for the Maxwell-Higgs Equations
• A bilinear estimate and its application to a quadratic nonlinear Klein-Gordon equation in two space dimensions