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Pointwise convergence along a tangential curve for the fractional Schrödinger equation with 0 < m < 1
  • Jiye Yuan,
  • tengfei Zhao
Jiye Yuan
The Graduate School of China Academy of Engineering Physics

Corresponding Author:yuan_jiye@126.com

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tengfei Zhao
University of Science and Technology Beijing School of Mathematics and Physics
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Abstract

In this article, we study the pointwise convergence problem about solution to the fractional Schrödinger equation with 0 < m < 1 along the tangential curve and estimate the capacitary dimension of the divergence set. We extend the results of Cho and Shiraki in [8] for the case m > 1 to the case 0 < m < 1, which is sharp up to the endpoint.
25 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
26 Mar 2021Submission Checks Completed
26 Mar 2021Assigned to Editor
07 Apr 2021Reviewer(s) Assigned
08 Jul 2021Review(s) Completed, Editorial Evaluation Pending
25 Jul 2021Editorial Decision: Accept
12 Sep 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7786