Scattering problem for a system of nonlinear Klein-Gordon equations related to Dirac-Klein-Gordon equations

DOI10.1016/J.NA.2008.10.127zbMath1167.35427OpenAlexW2057312253MaRDI QIDQ1026043

Ratno Bagus Edy Wibowo

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.127

zbMATH Keywords

scattering problemDirac-Klein-Gordon

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45)

Related Items (7)

Scattering solutions and scattering function of a Klein-Gordon s-wave equation with jump conditions ⋮ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system ⋮ Wave operator for the system of the Dirac-Klein-Gordon equations ⋮ GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS ⋮ Final state problem for the Dirac-Klein-Gordon equations in two space dimensions ⋮ A mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac \(\text{equations}^{\star}\) ⋮ Unconditional optimal error estimates of conservative methods for Klein-Gordon-Dirac system in two dimensions

Cites Work

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• Existence of solutions for Schrödinger evolution equations
• Global solution of the system of wave and Klein-Gordon equations
• \(L^p-L^q\) estimates for the Klein-Gordon equation
• Lectures on nonlinear hyperbolic differential equations
• Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions
• SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Decay estimates for the Klein ndesh Gordon equation
• Nonlinear scattering for a system of nonlinear Klein–Gordon equations

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