On the existence of weak solutions for a nonlinear time dependent Dirac equation

DOI10.1017/S030821050002401XzbMath0703.35151MaRDI QIDQ3482248

João-Paulo Dias, M. S. Figueira

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak solutionexistenceCauchy problemnonlinear Dirac equation

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) PDEs in connection with quantum mechanics (35Q40)

Related Items (7)

Local Cauchy problem for the nonlinear Dirac and Dirac-Klein-Gordon equations on Kerr space–time ⋮ Scattering results for Dirac Hartree-type equations with small initial data ⋮ Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation ⋮ Scattering theory for the Dirac equation of Hartree type in \(2+1\) dimensions ⋮ Small Data Scattering for Cubic Dirac Equation with Hartree Type Nonlinearity in $\mathbb{R}^{1+3}$ ⋮ Small data scattering for semi-relativistic equations with Hartree type nonlinearity ⋮ Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

Cites Work

• The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
• Abstract non linear wave equations

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