Global solutions to Gross-Neveu equation

DOI10.1007/s11005-013-0622-9zbMath1270.35199OpenAlexW2062317096MaRDI QIDQ2377399

Hyungjin Huh

Publication date: 28 June 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-013-0622-9

zbMATH Keywords

charge conservation\(L ^{\infty }\) bound

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Initial value problems for systems of nonlinear first-order PDEs (35F55)

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Transverse instability of line solitary waves in massive Dirac equations ⋮ Growth of Sobolev norms for the Maxwell–Dirac and Dirac–Klein–Gordon systems in R 1 + 1 ⋮ 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 ⋮ Inverse Scattering for the Massive Thirring Model ⋮ Orbital stability of Dirac solitons ⋮ Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions ⋮ Asymptotic stability of solitary waves in generalized Gross-Neveu model ⋮ On spectral stability of the nonlinear Dirac equation ⋮ Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in 1 + 1 dimensions ⋮ Integrable semi-discretization of the massive Thirring system in laboratory coordinates ⋮ 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

Cites Work

• Global strong solution to the Thirring model in critical space
• Low regularity well-posedness for some nonlinear Dirac equations in one space dimension.
• Global existence for an \(L^2\) critical nonlinear Dirac equation in one dimension
• On spectral stability of the nonlinear Dirac equation
• On linear instability of solitary waves for the nonlinear Dirac equation
• Blowup for nonlinear hyperbolic equations
• Cauchy problem for one-dimensional semilinear hyperbolic systems: Global existence, blow up
• Global strong solution to a nonlinear Dirac type equation in one dimension
• The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation
• On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D
• Survey on global existence in the nonlinear Dirac equations in one dimension
• Global Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac and Other Nonlinear Dirac Equations in One Space Dimension
• Nonlinear propagation of light in one-dimensional periodic structures