Low regularity well-posedness for some nonlinear Dirac equations in one space dimension.
From MaRDI portal
Publication:636892
zbMath1240.35362MaRDI QIDQ636892
Achenef Tesfahun, Sigmund Selberg
Publication date: 1 September 2011
Published in: Differential and Integral Equations (Search for Journal in Brave)
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40) Second-order quasilinear hyperbolic equations (35L72)
Related Items (26)
Transverse instability of line solitary waves in massive Dirac equations ⋮ A result on a Dirac-type equation in spaces of analytic functions ⋮ Initial-boundary value problem for the one dimensional Thirring model ⋮ Global solutions to Gross-Neveu equation ⋮ Large time behavior of solution to nonlinear Dirac equation in \(1+1\) dimensions ⋮ Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field ⋮ Local well-posedness for the nonlinear Dirac equation in two space dimensions ⋮ Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation ⋮ Cubic nonlinear Dirac equation in a quarter plane ⋮ Inverse Scattering for the Massive Thirring Model ⋮ Self-similar solutions to nonlinear Dirac equations and an application to nonuniqueness ⋮ Orbital stability of Dirac solitons ⋮ Nonlinear spin and pseudo-spin symmetric Dirac equations ⋮ Low-regularity integrators for nonlinear Dirac equations ⋮ A vanishing dynamic capillarity limit equation with discontinuous flux ⋮ Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions ⋮ Asymptotic stability of solitary waves in generalized Gross-Neveu model ⋮ The Thirring model in spaces of analytic functions ⋮ Global strong solution to the Thirring model in critical space ⋮ On spectral stability of the nonlinear Dirac equation ⋮ Local smooth solutions of the nonlinear Klein-Gordon equation ⋮ Integrable semi-discretization of the massive Thirring system in laboratory coordinates ⋮ Global strong solutions to some nonlinear Dirac equations in super-critical space ⋮ Global solution to nonlinear Dirac equation for Gross-Neveu model in \(1+1\) dimensions ⋮ Low regularity well-posedness for Gross-Neveu equations ⋮ The One-Dimensional Dirac Equation With Concentrated Nonlinearity
This page was built for publication: Low regularity well-posedness for some nonlinear Dirac equations in one space dimension.
