Global strong solution to the Thirring model in critical space

DOI10.1016/j.jmaa.2011.02.042zbMath1218.81077OpenAlexW1981127907MaRDI QIDQ542822

Hyungjin Huh

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.042

zbMATH Keywords

strong solutionThirring model\(L^{2}\) critical problem

Mathematics Subject Classification ID

Model quantum field theories (81T10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Special quantum systems, such as solvable systems (81Q80)

Related Items

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 ⋮ Time-frequency analysis of the Dirac equation ⋮ Solvability of one-dimensional semilinear hyperbolic systems and sine-Gordon equation ⋮ Inverse Scattering for the Massive Thirring Model ⋮ Self-similar solutions to nonlinear Dirac equations and an application to nonuniqueness ⋮ Orbital stability of Dirac solitons ⋮ Ill-posedness of the Thirring model below the critical regularity ⋮ Energy methods for Dirac-type equations in two-dimensional Minkowski space ⋮ Global solutions to space-time monopole equations in one space dimension ⋮ Nonexistence of self-similar blowup for the nonlinear Dirac equations in \((1+1)\) dimensions ⋮ 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

Cites Work

• Low regularity well-posedness for some nonlinear Dirac equations in one space dimension.
• A soluble relativistic field theory
• Local well-posedness for a nonlinear Dirac equation in spaces of almost critical dimension
• Uniqueness of weak solutions of \(1+1\) dimensional wave maps
• The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation
• Local and global solutions for a nonlinear Dirac system
• Global Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac and Other Nonlinear Dirac Equations in One Space Dimension
• A Semilinear Dirac Equation inH^s(R³) fors> 1