论文标题
关于分数schrödinger方程的最大不平等不平等变化的注释
A note on some variations of the maximal inequality for the fractional Schrödinger equation
论文作者
论文摘要
本说明的目的是摘要作者的最新作品，内容涉及分数Schrödinger方程的解决方案的两种变体。沿切向线和一组线收敛，在每种环境中都会表现出一些新的结果。对于前一种情况，我们沿着指数顺序的切向曲线对路径进行了简单的观察。我们讨论了后一种情况的反例，该样本表明某些已知的平滑规律本质上是最佳的。
The purpose of this note is to provide a summary of the recent work of the authors on two variations of the pointwise convergence problem for the solutions to the fractional Schrödinger equations; convergence along a tangential line and along a set of lines, as exhibiting some new results in each setting. For the former case, we make a simple observation on a path along a tangential curve of exponential order. We discuss counterexamples for the latter case that show some of the known smooth regularities are essentially optimal.
