On the Maxwell-Dirac equations with zero magnetic field and their solution in two space dimensions
From MaRDI portal
Publication:1224723
DOI10.1016/0022-247X(76)90087-1zbMath0324.35076OpenAlexW2082972479MaRDI QIDQ1224723
Robert T. Glassey, John M. Chadam
Publication date: 1976
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(76)90087-1
Related Items
On One-Dimensional Coupled Dirac Equations ⋮ Small data scattering of semirelativistic Hartree equation ⋮ Unnamed Item ⋮ On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system ⋮ Cauchy problem for the Fermion field equation coupled with the Chern-Simons gauge ⋮ Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations ⋮ Scattering results for Dirac Hartree-type equations with small initial data ⋮ On semi-classical limits of ground states of a nonlinear Maxwell-Dirac system ⋮ Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation ⋮ Scattering and Nonscattering of the Hartree-Type Nonlinear Dirac System at Critical Regularity ⋮ A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations ⋮ The modified scattering for Dirac equations of scattering-critical nonlinearity ⋮ Existence and asymptotic behaviour of the least energy solutions for a quasilinear Dirac-Poisson system ⋮ Existence of solutions for nonlinear Dirac equations in the Bopp-Podolsky electrodynamics ⋮ Existence of ground states solutions for Dirac-Poisson systems ⋮ Scattering theory for the Dirac equation of Hartree type in \(2+1\) dimensions ⋮ Stationary solutions of non-autonomous Maxwell-Dirac systems ⋮ Virial identities and energy-momentum relation for solitary waves of nonlinear Dirac equations ⋮ Global solution to Maxwell-Dirac equations in \(1+1\) dimensions ⋮ Variational methods in relativistic quantum mechanics ⋮ Small Data Scattering for Cubic Dirac Equation with Hartree Type Nonlinearity in $\mathbb{R}^{1+3}$ ⋮ Small data scattering for semi-relativistic equations with Hartree type nonlinearity ⋮ Existence and multiplicity of stationary solutions for a class of Maxwell-Dirac system ⋮ Global solutions and asymptotic behaviors of the Chern-Simons-Dirac equations in \(\mathbb R^{1+1}\) ⋮ Standing wave solutions of Maxwell-Dirac systems ⋮ Ground states for nonlinear Maxwell-Dirac system with magnetic field ⋮ Low regularity well-posedness of Hartree type Dirac equations in 2, 3-dimensions ⋮ A Dirac field interacting with point nuclear dynamics ⋮ The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge ⋮ Problème de Cauchy pour des systèmes hyperboliques semi-linéaires ⋮ Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures
Cites Work
- Unnamed Item
- Unnamed Item
- On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions
- Decay and asymptotics for \(\square u = F(u)\)
- Non-linear semi-groups
- Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
- Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
- The cauchy problem for the coupled maxwell and dirac equations
- Properties of the Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac Equations in One Space Dimension
This page was built for publication: On the Maxwell-Dirac equations with zero magnetic field and their solution in two space dimensions