Global Existence and Uniqueness of Solutions to the Maxwell-Schrödinger Equations
Global Existence and Uniqueness of Solutions to the Maxwell-Schrödinger Equations
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DOI：
10.1007/s00220-007-0337-9
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发表时间：
2006-07
影响因子：
2.4
通讯作者：
Makoto Nakamura;Takeshi Wada
中科院分区：
文献类型：
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作者：
Makoto Nakamura;Takeshi Wada
在三维Sobolev空间中研究了Maxwell-Schrodinger方程的时间局部和整体适定性.利用Koch型和Tzvetkov型的Kohartz估计得到了低k的Sobolev空间中的解。其中一个主要的结果是，解决方案存在的时间全球大数据。
The time local and global well-posedness for the Maxwell-Schrödinger equations is considered in Sobolev spaces in three spatial dimensions. The Strichartz estimates of Koch and Tzvetkov type are used for obtaining the solutions in the Sobolev spaces of low regularities. One of the main results is that the solutions exist time globally for large data.