Can I read An improved necessary condition for the Schr\"odinger maximal estimate on EtoBox?

An improved necessary condition for the Schr\"odinger maximal estimate by Lucà, Renato; Rogers, Keith is a scholarly article available to read on EtoBox.

What is An improved necessary condition for the Schr\"odinger maximal estimate about?

We improve the necessary condition for Carleson's problem regarding convergence for the Schr\"odinger equation in dimensions $n\ge 3$. We prove that if the solution converges almost everywhere to its initial datum as time tends to zero, for all data in $H^s(\mathbb{R}^n)$, then $s\ge \frac{n}{2(n+2)}$.

Author

Lucà, Renato; Rogers, Keith

Published

2015

Language

EN