Well-posedness for a modified Zakharov system
Analysis of PDEs
2007-05-23 v2
Abstract
The Cauchy problem for a modified Zakharov system is proven to be locally well-posed for rough data in two and three space dimensions. In the three dimensional case the problem is globally well-posed for data with small energy. Under this assumption there also exists a global classical solution for sufficiently smooth data.
Keywords
Cite
@article{arxiv.math/0601727,
title = {Well-posedness for a modified Zakharov system},
author = {Hartmut Pecher},
journal= {arXiv preprint arXiv:math/0601727},
year = {2007}
}
Comments
30 pages. Final version to appear in Hokkaido Mathematical Journal