Global solutions of 2-D cubic Dirac equation with non-compactly supported data
Analysis of PDEs
2023-03-14 v1
Abstract
We are interested in the cubic Dirac equation in two space dimensions. We establish the small data global existence and sharp pointwise decay results for general cubic nonlinearities without additional structure. We also prove the scattering of the Dirac equation for certain classes of nonlinearities. In all the above results we do not require the initial data to have compact support.
Cite
@article{arxiv.2303.06897,
title = {Global solutions of 2-D cubic Dirac equation with non-compactly supported data},
author = {Qian Zhang},
journal= {arXiv preprint arXiv:2303.06897},
year = {2023}
}
Comments
19 pages