On the Dirac–Klein–Gordon Equations in Three Space Dimensions

DOI10.1081/PDE-200059287zbMath1083.35121OpenAlexW2021218734MaRDI QIDQ5314610

Yung-Fu Fang, Manoussos G. Grillakis

Publication date: 5 September 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-200059287

zbMATH Keywords

fixed pointlocal existenceDirac-Klein-Gordon equationsnull form

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (5)

LOCAL WELL-POSEDNESS BELOW THE CHARGE NORM FOR THE DIRAC–KLEIN–GORDON SYSTEM IN TWO SPACE DIMENSIONS ⋮ Global well-posedness of the Maxwell-Dirac system in two space dimensions ⋮ GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS ⋮ Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system ⋮ Well-posedness for nonlinear Dirac equations in one dimension

Cites Work

• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions
• Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
• On the reduction and some new exact solutions of the nonlinear Dirac and Dirac-Klein-Gordon equations
• Local existence of energy class solutions for the dirac—klein—gordon equations
• Space‐time estimates for null forms and the local existence theorem
• LOCAL EXISTENCE FOR SEMILINEAR WAVE EQUATIONS AND APPLICATIONS TO YANG–MILLS EQUATIONS
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