Global existence for the quadratic Dirac equation in two and three space dimensions
type: Item
instance of: scholarly article
title: Global existence for the quadratic Dirac equation in two and three space dimensions
zbMATH Open document ID: 1503.35199
author: Qian Zhang
published in: Journal of Differential Equations
publication date: 2022-11-28T00:00:00Z
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35L52
Mathematics Subject Classification ID: 35L71
zbMATH DE Number: 7623997
zbMATH Keywords: quadratic Dirac equation
zbMATH Keywords: global-in-time solution
zbMATH Keywords: sharp pointwise decay
zbMATH Keywords: hyperboloidal foliation of spacetime
MaRDI profile type: Publication
full work available at URL: j.jde.2022.11.015
OpenAlex ID: W4309683835
cites work: Hyperbolic partial differential equations
cites work: Q3825451
cites work: The cubic Dirac equation: small initial data in \(H^1(\mathbb R^3)\)
cites work: The cubic Dirac equation: small initial data in \({H^{\frac{1}{2}}(\mathbb R^2)}\)
cites work: LOW REGULARITY SOLUTIONS OF THE DIRAC KLEIN-GORDON EQUATIONS IN TWO SPACE DIMENSIONS
cites work: Global Well-Posedness for the Massless Cubic Dirac Equation: Table 1
cites work: The zero mass problem for Klein-Gordon equations: quadratic null interactions
cites work: Global solution to the cubic Dirac equation in two space dimensions
cites work: Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds
cites work: A Semilinear Dirac Equation inHs(R3) fors> 1
cites work: Semilinear hyperbolic equations
cites work: Lectures on nonlinear hyperbolic differential equations
cites work: Blow-up for quasi-linear wave equations in three space dimensions
cites work: Global Existence for Quadratically Perturbed Massless Dirac Equations Under the Null Condition
cites work: Q3733338
cites work: Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
cites work: Global Solution for Massive Maxwell‐Klein‐Gordon Equations
cites work: The Hyperboloidal Foliation Method
cites work: Asymptotic Properties of the Spinor Field and the Application to Nonlinear Dirac Models
cites work: Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation
cites work: Local well-posedness for the nonlinear Dirac equation in two space dimensions
cites work: Q3515718
cites work: A soluble relativistic field theory
cites work: Existence of global solutions to nonlinear massless Dirac system and wave equation with small data
DOI: 10.1016/J.JDE.2022.11.015
description: scientific article; zbMATH DE number 7623997