论文标题
关于能量空间中半波Schrödinger方程的评论
A remark on the Half wave Schrödinger equation in the energy space
论文作者
论文摘要
我们研究了能量空间中半波Schrödinger方程的凯奇问题。在初始数据的某些附加假设下，我们在能量类型的能量空间中得出了局部良好的位置，即$ \ hat {u} _0 \ in L^1_ {ξ，η}（\ Mathbb {r}^2）$。
We investigate the Cauchy problem for the half wave Schrödinger equation in the energy space. We derive the local well-posedness in the energy space for the odd power type nonlinearities under certain additional assumption for the initial data, namely $\hat{u}_0 \in L^1_{ξ, η}(\mathbb{R}^2)$.
