Global solution to the cubic Dirac equation in two space dimensions

DOI10.1016/j.jde.2022.05.022zbMath1491.35373arXiv2111.04048OpenAlexW3213137617MaRDI QIDQ2672564

Shijie Dong, Kuijie Li

Publication date: 13 June 2022

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

Full work available at URL: https://arxiv.org/abs/2111.04048

zbMATH Keywords

hyperboloidal foliation methodcubic Dirac equationglobal existence and scatteringunified pointwise decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Fermionic systems in quantum theory (81V74)

Related Items (3)

Global solutions of \(2\)-\(D\) cubic Dirac equation with non-compactly supported data ⋮ Global behavior of small data solutions for the 2D Dirac–Klein-Gordon system ⋮ Global existence for the quadratic Dirac equation in two and three space dimensions

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