On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions

From MaRDI portal
Publication:1845014

DOI10.1007/BF00250789zbMath0285.35042OpenAlexW2005963734MaRDI QIDQ1845014

John M. Chadam, Robert T. Glassey

Publication date: 1974

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250789




Related Items (44)

Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac SystemCharge conjugation approach to scattering for the Hartree type Dirac equations with chiralityOn One-Dimensional Coupled Dirac EquationsLocal existence of energy class solutions for the dirac—klein—gordon equationsMultiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systemsOn the Dirac–Klein–Gordon Equations in Three Space DimensionsSpectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon modelsOn the Majorana condition for nonlinear Dirac systemsSemiclassical states for Dirac-Klein-Gordon system with critical growthConvergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equationGlobal solution to the 3D Dirac-Klein-Gordon system with uniform energy boundsConvergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac systemStructure‐preserving exponential wave integrator methods and the long‐time convergence analysis for the Klein‐Gordon‐Dirac equation with the small coupling constantOn Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler EquationsOptimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equationTwo energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac systemOn Short Wave-Long Wave Interactions in the Relativistic ContextScattering and Nonscattering of the Hartree-Type Nonlinear Dirac System at Critical RegularityA uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regimeAn efficient linearly implicit and energy‐conservative scheme for two dimensional Klein–Gordon–Schrödinger equationsGlobal behavior of small data solutions for the 2D Dirac–Klein-Gordon systemVirial identities and energy-momentum relation for solitary waves of nonlinear Dirac equationsOn the concentration of semi-classical states for a nonlinear Dirac-Klein-Gordon systemSolitary waves for the Klein-Gordon-Dirac modelOn the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensionsSmall data scattering for semi-relativistic equations with Hartree type nonlinearitySmall data scattering of 2d Hartree type Dirac equationsSharp ill-posedness of the Dirac-Klein-Gordon system in one dimensionStationary States of Dirac--Klein--Gordon Systems with Nonlinear Interacting TermsOn the cubic Dirac equation with potential and the Lochak-Majorana conditionTransference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon systemAnalysis of a conservative fourth-order compact finite difference scheme for the Klein-Gordon-Dirac equationNull structure and almost optimal local regularity for the Dirac-Klein-Gordon systemGlobal solutions and asymptotic behaviors of the Chern-Simons-Dirac equations in \(\mathbb R^{1+1}\)Ill-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimensionRegularity of weak solutions to a two-dimensional modified Dirac-Klein- Gordon system of equationsOn global well-posedness and scattering for the massive Dirac-Klein-Gordon systemOn the Maxwell-Dirac equations with zero magnetic field and their solution in two space dimensionsPropagation of singularities for non-linear wave equations in one dimensionOn coupled Klein-Gordon-Schrödinger equations. IIOptimal resolution methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regimeA mass and energy conservative fourth-order compact difference scheme for the Klein-Gordon-Dirac \(\text{equations}^{\star}\)Unconditional optimal error estimates of conservative methods for Klein-Gordon-Dirac system in two dimensionsProblème de Cauchy pour des systèmes hyperboliques semi-linéaires



Cites Work


This page was built for publication: On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions