Global well-posedness below energy space for the 1D Zakharov system
偏微分方程分析
2007-05-23 v5
摘要
The Cauchy problem for the 1-dimensional Zakharov system is shown to be globally well-posed for large data which not necessarily have finite energy. The proof combines the local well-posedness result of Ginibre, Tsutsumi, Velo and a general method introduced by Bourgain to prove a similar result for nonlinear Schr\"odinger equations.
引用
@article{arxiv.math/0005030,
title = {Global well-posedness below energy space for the 1D Zakharov system},
author = {Hartmut Pecher},
journal= {arXiv preprint arXiv:math/0005030},
year = {2007}
}