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arXiv · 2001.08574

Improved local smoothing estimate for the fractional Schr\"odinger operator

Chuanwei Gao·Changxing Miao·Jiqiang Zheng
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Abstract

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

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Chuanwei Gao, Changxing Miao, Jiqiang Zheng. 2020-01-23. Improved local smoothing estimate for the fractional Schr\"odinger operator. https://arxiv.org/abs/2001.08574

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