Maxwell-Schrödinger 方程解的整体存在性与唯一性
偏微分方程分析
2009-11-11 v2 数学物理
math.MP
摘要
在三维空间中的 Sobolev 空间里考虑了 Maxwell-Schrödinger 方程的时间局部与整体适定性。使用了 Koch 和 Tzvetkov 型的 Strichartz 估计来获得低正则性 Sobolev 空间中的解。主要结果之一是解对大数据时间整体存在。
引用
@article{arxiv.math/0607039,
title = {Global Existence and Uniqueness of Solutions to the Maxwell-Schr{\"o}dinger Equations},
author = {Makoto Nakamura and Takeshi Wada},
journal= {arXiv preprint arXiv:math/0607039},
year = {2009}
}
备注
30 pages. In the revised version, the following modification was made. (1) A line for dedication was added in the first page. (2) Some lines were added at the bottom in page 4 and the top in page 5 in the first section to make the description accurate. (3) Some typographical errors were corrected throughout the paper