Scattering for the Zakharov system in 3 dimensions
Analysis of PDEs
2015-06-05 v2
Abstract
We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t^{-1}, whereas the Schr\"odinger component decays almost at a rate of t^{-7/6}.
Cite
@article{arxiv.1206.3473,
title = {Scattering for the Zakharov system in 3 dimensions},
author = {Zaher Hani and Fabio Pusateri and Jalal Shatah},
journal= {arXiv preprint arXiv:1206.3473},
year = {2015}
}
Comments
Minor changes and referee's comments included