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带导数耦合Schr？dinger方程组的适定性
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Abstract:
带导数非线性Schr？dinger方程描述了极化Alfvén波在恒定磁场下磁化等离子体的传播。本文研究带导数耦合Schr？dinger方程组的Cauchy问题。利用傅里叶限制范数方法，得到了初始值在Hs(R)×Hs(R)(s>12)中的局部适定性。
The derivative nonlinear Schr？dinger equation describes the propagation of circular polarized Alfvén waves in a magnetized plasma under a constant magnetic field. In this paper, we study the Cauchy problem of the coupled Schr？dinger equations with derivative. Using the Fourier restriction norm method, we obtain the local well-posedness for initial data inHs(R)×Hs(R)(s>12).
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