论文标题
沿切向曲线的分数schrödinger方程的切角曲线收敛
Pointwise convergence along a tangential curve for the fractional Schrödinger equation
论文作者
论文摘要
在本文中，我们研究了一个空间维度的分数schrödinger方程的切向曲线的侧面收敛问题，并估算了差异集的电容尺寸。我们将Lee的先前论文和古典Schrödinger方程式的第一作者扩展到了，该论文本身包含了由于Lee，Vargas和第一作者而导致的结果，该结果是分数Schrödinger方程。该证明是基于没有时间定位的分解论点的，第二作者最近引入了该论点。
In this paper we study the pointwise convergence problem along a tangential curve for the fractional Schrödinger equations in one spatial dimension and estimate the capacitary dimension of the divergence set. We extend a prior paper by Lee and the first author for the classical Schrödinger equation, which in itself contains a result due to Lee, Vargas and the first author, to the fractional Schrödinger equation. The proof is based on a decomposition argument without time localization, which has recently been introduced by the second author.
