Self-similar solutions to nonlinear Dirac equations and an application to nonuniqueness

DOI10.3934/eect.2018003zbMath1414.35190OpenAlexW2781806220MaRDI QIDQ1711846

Hyungjin Huh

Publication date: 18 January 2019

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2018003

zbMATH Keywords

nonuniquenessnonlinear Dirac equations\(L^2\) critical problem

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Time-dependent Schrödinger equations and Dirac equations (35Q41) Strong solutions to PDEs (35D35)

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
• REMARKS ON NONLINEAR DIRAC EQUATIONS 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
• Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
• Modeling of Wave Resonances in Low-Contrast Photonic Crystals

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