Local well-posedness for the Maxwell-Schrödinger equation
Local well-posedness for the Maxwell-Schrödinger equation
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DOI：
10.1007/s00208-005-0637-3
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发表时间：
2005-05
影响因子：
1.4
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
利用收缩映射原理，研究了库仑规Maxwell-Schrödinger方程在Sobolev空间中的时间局部适定性。洛伦兹规范和时间规范也用规范变换处理。
Time local well-posedness for the Maxwell-Schrödinger equation in the Coulomb gauge is studied in Sobolev spaces by the contraction mapping principle. The Lorentz gauge and the temporal gauge cases are also treated by the gauge transform.