带导数耦合SchrÖdinger方程组的适定性  

Well-Posedness for the Coupled SchrÖdinger Equations with Derivative

作　　者：李巧欣 顾月 

机构地区：[1]华北电力大学数理学院,北京

出　　处：《应用数学进展》2024年第5期2087-2095,共9页Advances in Applied Mathematics

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。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).

关 键 词：带导数耦合SchrÖdinger方程组 傅里叶限制范数方法 局部适定性 

分 类 号：O17[理学—数学]