论文标题

改进了分数Schrödinger操作员的本地平滑估计

Improved local smoothing estimate for the fractional Schrödinger operator

论文作者

Gao, Chuanwei, Miao, Changxing, Zheng, Jiqiang

论文摘要

在本文中,我们将分数Schrödinger操作员的局部平滑估计值$ e^{it(-δ)^{α/2}} $带有$α> 1 $。使用古斯(Guth)开发的$ k $ -boad“ Norm”估算,我们改善了对小数Schrödinger运营商的本地平滑估算的先前最佳结果。

In this paper, we consider the local smoothing estimate of fractional Schrödinger operator $e^{it(-Δ)^{α/2}}$ with $α>1$. Using the $k$-broad "norm" estimate developed by Guth, we improve the previous best results of local smoothing estimate for the fractional Schrödinger operator .

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