Global solutions of \(2\)-\(D\) cubic Dirac equation with non-compactly supported data

DOI10.1007/s12220-023-01535-zarXiv2303.06897WikidataQ129727137 ScholiaQ129727137MaRDI QIDQ6144588

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Publication date: 29 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.06897

zbMATH Keywords

global-in-time solutionscubic Dirac equationghost weight methodsharp time decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• The cubic Dirac equation: small initial data in \({H^{\frac{1}{2}}(\mathbb R^2)}\)
• Local well-posedness for the nonlinear Dirac equation in two space dimensions
• A soluble relativistic field theory
• Hyperbolic partial differential equations
• Lectures on nonlinear hyperbolic differential equations
• Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation
• Existence of global solutions to nonlinear massless Dirac system and wave equation with small data
• Global solution to the wave and Klein-Gordon system under null condition in dimension two
• The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\)
• Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds
• Global solution to the cubic Dirac equation in two space dimensions
• LOW REGULARITY SOLUTIONS OF THE DIRAC KLEIN-GORDON EQUATIONS IN TWO SPACE DIMENSIONS
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Blow-up for quasi-linear wave equations in three space dimensions
• Decay estimates for the Klein ndesh Gordon equation
• A Semilinear Dirac Equation inH^s(R³) fors> 1
• Global Well-Posedness for the Massless Cubic Dirac Equation: Table 1
• Global Existence for Quadratically Perturbed Massless Dirac Equations Under the Null Condition
• Nonlinear Wave Equations
• The null condition for quasilinear wave equations in two space dimensions. I
• Global behavior of small data solutions for the 2D Dirac–Klein-Gordon system

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