带导数耦合SchrÖdinger方程组的适定性
Well-Posedness for the Coupled SchrÖdinger Equations with Derivative
摘要: 带导数非线性Schrödinger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Schrödinger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。
Abstract: The derivative nonlinear Schrödinger 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 Schrödinger equations with derivative. Using the Fourier restriction norm method, we obtain the local well-posedness for initial data inHs(R)×Hs(R)(s>12).
文章引用：李巧欣, 顾月. 带导数耦合SchrÖdinger方程组的适定性[J]. 应用数学进展, 2024, 13(5): 2087-2095. https://doi.org/10.12677/aam.2024.135196

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