Global existence for some 4-D quasilinear wave equations with low regularity
Analysis of PDEs
2017-09-05 v1
Abstract
In this paper, we prove the global existence for some 4-D quasilinear wave equations with small, radial data in . The main idea is to exploit local energy estimates with variable coefficients, together with the trace estimates.
Cite
@article{arxiv.1709.00967,
title = {Global existence for some 4-D quasilinear wave equations with low regularity},
author = {Mengyun Liu and Chengbo Wang},
journal= {arXiv preprint arXiv:1709.00967},
year = {2017}
}
Comments
12 pages, to appear in Acta Mathematica Sinica, English Series