1+2 dimensional radially symmetric wave maps revisit
Analysis of PDEs
2023-02-21 v1
Abstract
The author gives an alternative and simple proof of the global existence of smooth solutions to the Cauchy problem for wave maps from the 1+2-dimensional Minkowski space to an arbitrary compact smooth Riemannian manifold without boundary, for arbitrary smooth, radially symmetric data. the author can also treat non-compact manifold under some additional assumptions which generalize the existing ones.
Cite
@article{arxiv.2302.09954,
title = {1+2 dimensional radially symmetric wave maps revisit},
author = {Yi Zhou},
journal= {arXiv preprint arXiv:2302.09954},
year = {2023}
}
Comments
This paper was published in Chinese Annals of Mathematics in 2022, unfortunately there is a miss calculation in the main equality. The present version correct this mistakes