A Note on Semi-linear Wave Equations
Analysis of PDEs
2012-12-10 v4
Abstract
Inspired by the work of Wang and Yu [21] on wave maps, we show that for all positive numbers T_{0} > 0 and E_{0} > 0, a large kind of semi-linear wave equation on R \times R^{3} has a solution whose life-span is [0; T_{0}], and the energy of the initial Cauchy data is at least E_{0}.
Cite
@article{arxiv.1212.0499,
title = {A Note on Semi-linear Wave Equations},
author = {Shuang Miao},
journal= {arXiv preprint arXiv:1212.0499},
year = {2012}
}
Comments
21 pages, 3 figures. arXiv admin note: text overlap with arXiv:1207.5591 by other authors