Modified Wave Operators for Maxwell-Schrödinger Equations in Three Space Dimensions
Modified Wave Operators for Maxwell-Schrödinger Equations in Three Space Dimensions
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DOI：
10.1007/s00023-003-0143-7
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发表时间：
2003-08
期刊：
影响因子：
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通讯作者：
A. Shimomura
中科院分区：
文献类型：
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作者：
A. Shimomura
研究了三维空间库仑规范和洛伦兹规范条件下Maxwell-Schrödinger方程的散射理论。这些方程属于短程情况和长距离情况之间的边界。证明了小散射态方程的修正波算符的存在性，且不受其傅里叶变换支持的限制。
We study the scattering theory for the Maxwell-Schrödinger equations under the Coulomb gauge and the Lorentz gauge conditions in three space dimensions. These equations belong to the borderline between the short range case and the long range one. We prove the existence of modified wave operators for those equations for small scattered states with no restriction on the support of the Fourier transform of them.