论文标题
在$ l^2 $适合和衰减的三阶估计本杰明·奥诺方程
On the $L^2$ well-posedness and decay estimate of third order Benjamin-Ono equation
论文作者
论文摘要
我们考虑了$ l^2 $三阶Benjamin-Ono方程的良好性。我们表明，通过正常形式和仪表变换，方程可以更改为通风型方程。这项工作的第二个目标是确定非线性三阶Benjamin-Ono方程问题的解决方案表现出与相应线性相关问题的分散衰减估计值。关键成分是使用非线性矢量字段方法。
We consider the $L^2$ well-posedness of third order Benjamin-Ono equation. We show that by means of a normal form and a gauge transformation, the equation can be changed into an Airy-type equation. A second goal of this work is to establish that the solutions to the nonlinear third order Benjamin-Ono equation problem exhibit a dispersive decay estimate analogue to the corresponding linear associated problem. The key ingredient is the use of a nonlinear vector field method.
