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

Chuanwei Gao; Changxing Miao; Jiqiang Zheng

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

Analysis of PDEs 2024-04-23 v3

Authors: Chuanwei Gao , Changxing Miao , Jiqiang Zheng

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 .

Keywords

schrödinger equation schrödinger operators

Cite

@article{arxiv.2001.08574,
  title  = {Improved local smoothing estimate for the fractional Schr\"odinger operator},
  author = {Chuanwei Gao and Changxing Miao and Jiqiang Zheng},
  journal= {arXiv preprint arXiv:2001.08574},
  year   = {2024}
}

Comments

To appear in Bulletin of the London Mathematical Society

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