论文标题

Sobolev空间中Zakharov-Kuznetsov方程的本地良好性

Local well-posedness for the Zakharov-Kuznetsov equation in Sobolev spaces

论文作者

Osawa, Satoshi

论文摘要

周期性边界设置上二维Zakharov-kuznetsov方程的初始值问题显示在圆柱体中局部适合9/10 <s <1。我们通过使用双线性估计来分别思考第一个变量和第二个空间。

The initial value problem for two-dimensional Zakharov-Kuznetsov equation on periodic boundary setting is shown to be locally well-posed in the cylinder for 9/10 < s < 1. We prove this theorem by using bilinear estimates thinking separetely the first variable and the second variable of space.

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