论文标题
$α$调制空间中的分数schrödinger方程的本地平滑估计值
Local smoothing estimates of fractional Schrödinger equations in $α$-modulation spaces with some applications
论文作者
论文摘要
我们通过解耦不平等显示了一些新的局部平滑估计值，其初始数据在$α$调制的空间中以$α$调制空间为单位。此外，我们的必要条件表明，在某些情况下，局部平滑估计值很清晰。作为应用程序，本地平滑估计值可能显示了线上四阶非线性schrödinger方程的调制空间上的一些新的本地良好性。
We show some new local smoothing estimates of the fractional Schrödinger equations with initial data in $α$-modulation spaces via decoupling inequalities. Furthermore, our necessary conditions show that the local smoothing estimates are sharp in some cases. As applications, the local smoothing estimates could show some new local well-posedness on modulation spaces of the fourth-order nonlinear Schrödinger equations on the line.
