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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
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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.

Peer review status:UNDER REVIEW

25 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
26 Mar 2021Assigned to Editor
26 Mar 2021Submission Checks Completed
07 Apr 2021Reviewer(s) Assigned