On the Majorana condition for nonlinear Dirac systems

DOI10.1016/j.anihpc.2018.02.001zbMath1403.35254arXiv1709.09568OpenAlexW2758053684MaRDI QIDQ1669646

Sebastian Herr, Timothy Candy

Publication date: 3 September 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09568

zbMATH Keywords

scatteringglobal existenceDirac-Klein-Gordon systemcubic Dirac equationMajorana condition

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Harmonic analysis and PDEs (42B37)

Related Items (9)

Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality ⋮ The self-interacting Dirac fields in FLRW spacetime ⋮ CONDITIONAL LARGE INITIAL DATA SCATTERING RESULTS FOR THE DIRAC–KLEIN–GORDON SYSTEM ⋮ The Dirac-Klein-Gordon system in the strong coupling limit ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler Equations ⋮ On Short Wave-Long Wave Interactions in the Relativistic Context ⋮ MATRIX-MFO tandem workshop/small collaboration: Rough wave equations. Abstracts from the MATRIX-MFO tandem workshop/small collaboration held September 12--18, 2021 (hybrid meeting) ⋮ Multi-scale bilinear restriction estimates for general phases ⋮ Global in time self-interacting Dirac fields in the de Sitter space

Cites Work

• The cubic Dirac equation: small initial data in \({H^{\frac{1}{2}}(\mathbb R^2)}\)
• On the cubic Dirac equation with potential and the Lochak-Majorana condition
• Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system
• On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions
• On global well-posedness and scattering for the massive Dirac-Klein-Gordon system
• The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\)
• Structure of Dirac matrices and invariants for nonlinear Dirac equations.
• Global Well-Posedness for the Massless Cubic Dirac Equation: Table 1
• CONDITIONAL LARGE INITIAL DATA SCATTERING RESULTS FOR THE DIRAC–KLEIN–GORDON SYSTEM
• Teoria simmetrica dell’elettrone e del positrone
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Majorana condition for nonlinear Dirac systems