Well-Posedness for the Generalized Zakharov–Kuznetsov Equation on Modulation Spaces
Well-Posedness for the Generalized Zakharov–Kuznetsov Equation on Modulation Spaces
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DOI：
10.1007/s00041-016-9480-z
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发表时间：
2017-06
影响因子：
1.2
通讯作者：
Tomoya Kato
中科院分区：
文献类型：
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作者：
Tomoya Kato
本文考虑二维或三维空间上广义Zakharov-Kuznetzov方程的Cauchy问题。我们主要研究了二维情形，给出了调制空间中的局部适定性和小数据整体适定性。此外，对于四次情形（即），给出了局部适定性。还考虑了三维上的适定性。
We consider the Cauchy problem for the generalized Zakharov–Kuznetzov equationon two or three space dimensions. We mainly study the two dimensional case and give the local well-posedness and the small data global well-posedness in the modulation spacefor. Moreover, for the quartic case (namely,), the local well-posedness inis given. The well-posedness on three dimensions is also considered.