Global strong solutions to some nonlinear Dirac equations in super-critical space

DOI10.1155/2013/602753zbMath1432.35182OpenAlexW2087818268WikidataQ58917264 ScholiaQ58917264MaRDI QIDQ2318874

Hyungjin Huh

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/602753

zbMATH Keywords

initial value problemnonlinear Dirac equations

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Viscosity solutions to PDEs (35D40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

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

Cites Work

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• Low regularity well-posedness for some nonlinear Dirac equations in one space dimension.
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• Local well-posedness for a nonlinear Dirac equation in spaces of almost critical dimension
• Well-posedness for nonlinear Dirac equations in one dimension
• Uniqueness of weak solutions of \(1+1\) dimensional wave maps
• The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation
• DIRAC EQUATION WITH CERTAIN QUADRATIC NONLINEARITIES IN ONE SPACE DIMENSION
• Global Solutions of the Cauchy Problem for the (Classical) Coupled Maxwell-Dirac and Other Nonlinear Dirac Equations in One Space Dimension
• Global Well-posedness Below the Charge Norm for the Dirac-Klein-Gordon System in One Space Dimension
• Nonlinear propagation of light in one-dimensional periodic structures

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