Remark on the scattering operator for the cubic nonlinear Dirac equation in three space dimensions

DOI10.1016/J.JDE.2015.04.020zbMath1325.35128OpenAlexW2017173361MaRDI QIDQ2351993

Hironobu Sasaki

Publication date: 29 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.04.020

zbMATH Keywords

weighted Sobolev spacescattering operatornonlinear Dirac equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

The scattering problem for the three-dimensional cubic nonlinear Klein-Gordon equation with rapidly decreasing input data

Cites Work

• Existence of localized solutions for a classical nonlinear Dirac field
• On solutions on the initial value problem for the nonlinear Schrödinger equations
• Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.
• Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation
• On solutions of the initial value problem for the nonlinear Schrödinger equations in one space dimension
• The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\)
• Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS
• A Semilinear Dirac Equation inH^s(R³) fors> 1

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