A direct proof of global existence for the Dirac-Klein-Gordon equations in one space dimension

DOI10.11650/twjm/1500558455zbMath1050.35091OpenAlexW1522527787MaRDI QIDQ1880534

Yung-Fu Fang

Publication date: 28 September 2004

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500558455

zbMATH Keywords

Cauchy problemlocal existenceglobal existenceDirac-Klein-Gordon equations

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) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (10)

Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System ⋮ Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation ⋮ Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system ⋮ Structure‐preserving exponential wave integrator methods and the long‐time convergence analysis for the Klein‐Gordon‐Dirac equation with the small coupling constant ⋮ Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation ⋮ Topological and non-topological solitons of the Klein-Gordon equations in \(1+2\) dimensions ⋮ Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension ⋮ Analysis of a conservative fourth-order compact finite difference scheme for the Klein-Gordon-Dirac equation ⋮ Well-posedness for nonlinear Dirac equations in one dimension ⋮ Optimal resolution methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime

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