Pointwise convergence along a tangential curve for the fractional
Schrödinger equation with 0 < m < 1
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.
