Vol. 3, No. 2, 2021

Download this article
Download this article For screen
For printing
Recent Issues
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 2578-5885
ISSN (print): 2578-5893
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
Exact control for the Schrödinger equation on the torus from small balls

Zhongkai Tao

Vol. 3 (2021), No. 2, 387–401

For the standard torus 𝕋2 = 22, we prove observability for the free Schrödinger equation from a ball of radius 𝜖 with explicit dependence on the observability constant on 𝜖.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

quantum chaos, semiclassical analysis, control for Schrödinger equation, propagation of singularities
Mathematical Subject Classification
Primary: 35Q41, 35Q93, 47G30, 58J47
Received: 4 August 2020
Revised: 10 March 2021
Accepted: 4 May 2021
Published: 31 July 2021
Zhongkai Tao
Department of Mathematics
University of California
Berkeley, CA
United States