Scattering Problem for Quadratic Nonlinear Klein–Gordon Equation in 2D

DOI10.1007/978-1-4614-6348-1_8zbMath1273.35251OpenAlexW33775311MaRDI QIDQ2848254

Pavel I. Naumkin, Nakao Hayashi

Publication date: 26 September 2013

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-6348-1_8

zbMATH Keywords

scattering operatornonlinear Klein-Gordon equationtwo space dimensionsquadratic nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

A quadratic quasi-linear Klein-Gordon equation in two space dimensions ⋮ The scattering problem for the three-dimensional cubic nonlinear Klein-Gordon equation with rapidly decreasing input data ⋮ Scattering Problem for Quadratic Nonlinear Klein–Gordon Equation in 2D

Cites Work

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• \(L^p-L^q\) estimates for the Klein-Gordon equation
• The unit condition and global existence for a class of nonlinear Klein- Gordon equations
• 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 Regularity for the Quadratic Klein-Gordon Equation inR¹⁺²
• Normal forms and quadratic nonlinear Klein-Gordon equations
• A bilinear estimate and its application to a quadratic nonlinear Klein-Gordon equation in two space dimensions

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