Vol. 1, No. 3, 2019

Download this article
Download this article For screen
For printing
Recent Issues
Volume 6, Issue 3
Volume 6, Issue 2
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 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
Statement, 2023
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 2576-7666 (online)
ISSN 2576-7658 (print)
Author index
To appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
Almost sure local well-posedness for the supercritical quintic NLS

Justin T. Brereton

Vol. 1 (2019), No. 3, 427–453
Abstract

This paper studies the quintic nonlinear Schrödinger equation on d with randomized initial data below the critical regularity H(d1)2 for d 3. The main result is a proof of almost sure local well-posedness given a Wiener randomization of the data in Hs for s (1 2(d 2), 1 2(d 1)). The argument further develops the techniques introduced in the work of Á. Bényi, T. Oh and O.  Pocovnicu on the cubic problem. The paper concludes with a condition for almost sure global well-posedness.

PDF Access Denied

We have not been able to recognize your IP address 18.97.14.85 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:

Keywords
almost sure well-posedness, supercritical, dispersive, PDEs, NLS equation
Mathematical Subject Classification 2010
Primary: 35K55
Secondary: 35R60
Milestones
Received: 9 April 2018
Accepted: 19 June 2018
Published: 8 August 2018
Authors
Justin T. Brereton
Department of Mathematics
University of California
Berkeley, CA
United States