Local well-posedness for the Zakharov system on multidimensional torus
Analysis of PDEs
2011-09-19 v1
Abstract
The initial value problem of the Zakharov system on two dimensional torus with general period is shown to be locally well-posed in the Sobolev spaces of optimal regularity, including the energy space. Proof relies on a standard iteration argument using the Bourgain norms. The same strategy is also applicable to three and higher dimensional cases.
Keywords
Cite
@article{arxiv.1109.3527,
title = {Local well-posedness for the Zakharov system on multidimensional torus},
author = {Nobu Kishimoto},
journal= {arXiv preprint arXiv:1109.3527},
year = {2011}
}
Comments
35 pages, 3 figures