Local well-posedness of the two-dimensional Dirac–Klein–Gordon equations in Fourier–Lebesgue spaces

DOI10.1142/S0219891620500241zbMath1473.35471arXiv1910.03972OpenAlexW3128305410WikidataQ115245183 ScholiaQ115245183MaRDI QIDQ5006977

Hartmut Pecher

Publication date: 18 August 2021

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03972

zbMATH Keywords

local well-posednessFourier-Lebesgue spacesDirac-Klein-Gordon

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40)

Cites Work

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• Bilinear Fourier restriction estimates related to the 2D wave equation
• Almost critical well-posedness for nonlinear wave equations with \(Q_{\mu \nu}\) null forms in 2D
• The Chern-Simons-Higgs and the Chern-Simons-Dirac equations in Fourier-Lebesgue spaces
• Null structure and almost optimal local regularity for the Dirac-Klein-Gordon system
• Improved well-posedness for the quadratic derivative nonlinear wave equation in 2D
• ON THE WAVE EQUATION WITH QUADRATIC NONLINEARITIES IN THREE SPACE DIMENSIONS
• LOCAL WELL-POSEDNESS BELOW THE CHARGE NORM FOR THE DIRAC–KLEIN–GORDON SYSTEM IN TWO SPACE DIMENSIONS
• Global Solutions for the Dirac–Klein–Gordon System in Two Space Dimensions
• Bilinear space-time estimates for homogeneous wave equations

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