On Dirac equations with Hartree type nonlinearity in modulation spaces
Analysis of PDEs
2024-12-03 v4
Abstract
We obtain the local well-posedness for Dirac equations with a Hartree type nonlinearity derived by decoupling the Dirac-Klein-Gordon system. We extend the function space of initial data, enabling us to handle initial data that were not addressed in previous studies.
Cite
@article{arxiv.2308.09024,
title = {On Dirac equations with Hartree type nonlinearity in modulation spaces},
author = {Seongyeon Kim and Hyeongjin Lee and Ihyeok Seo},
journal= {arXiv preprint arXiv:2308.09024},
year = {2024}
}
Comments
To appear in Arch. Math., 9 pages