Well-posedness and scattering for the Zakharov system in four dimensions
Analysis of PDEs
2015-12-25 v1 Classical Analysis and ODEs
Abstract
The Cauchy problem for the Zakharov system in four dimensions is considered. Some new well-posedness results are obtained. For small initial data, global well-posedness and scattering results are proved, including the case of initial data in the energy space. None of these results is restricted to radially symmetric data.
Cite
@article{arxiv.1504.01073,
title = {Well-posedness and scattering for the Zakharov system in four dimensions},
author = {Ioan Bejenaru and Zihua Guo and Sebastian Herr and Kenji Nakanishi},
journal= {arXiv preprint arXiv:1504.01073},
year = {2015}
}
Comments
25 pages, 2 figures