Local well-posedness for a nonlinear Dirac equation in spaces of almost critical dimension

DOI10.3934/dcds.2008.20.605zbMath1144.35306OpenAlexW1981332827MaRDI QIDQ928451

Nikolaos Bournaveas

Publication date: 18 June 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.20.605

zbMATH Keywords

null structurerestriction methodKlainerman null forms

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40)

Related Items (12)

A result on a Dirac-type equation in spaces of analytic functions ⋮ Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field ⋮ Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation ⋮ Scattering theory for the Dirac equation of Hartree type in \(2+1\) dimensions ⋮ Nonlinear spin and pseudo-spin symmetric Dirac equations ⋮ Low-regularity integrators for nonlinear Dirac equations ⋮ Global strong solution to the Thirring model in critical space ⋮ Well-posedness for nonlinear Dirac equations in one dimension ⋮ Global strong solutions to some nonlinear Dirac equations in super-critical space ⋮ Asymptotic stability of small gap solitons in nonlinear Dirac equations ⋮ The One-Dimensional Dirac Equation With Concentrated Nonlinearity ⋮ Well-posedness for the Cauchy problem for a system of semirelativistic equations

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