arxiv: 1606.05861 · v1 · pith:R6WLGUAJnew · submitted 2016-06-19 · 🧮 math.OC

Observability and unique continuation inequalities for the Schr\"{o}dinger equation

Gengsheng Wang , Ming Wang , Yubiao Zhang This is my paper

classification 🧮 math.OC

keywords inequalitiesdingerequationobservabilityschrtimecontinuationfree

0 comments p. Extension

Add this Pith Number to your LaTeX paper

\usepackage{pith}
\pithnumber{R6WLGUAJ}

Prints a linked pith:R6WLGUAJ badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more

read the original abstract

In this paper, we present several observability and unique continuation inequalities for the free Schr\"{o}dinger equation in the whole space. The observations in these inequalities are made either at two points in time or one point in time. These inequalities correspond to different kinds of controllability for the free Schr\"{o}dinger equation. We also find that the observability inequality at two points in time is equivalent to the uncertainty principle built up in [18].

This paper has not been read by Pith yet.

Observability and unique continuation inequalities for the Schr\"{o}dinger equation

discussion (0)