This article is available for purchase or by subscription. See below.
Abstract
|
For the critical one-dimensional nonlinear Schrödinger equation, we construct blow-up
solutions that concentrate a soliton at the origin at the conformal blow-up rate, with
a nonflat blow-up profile. More precisely, we obtain a blow-up profile that equals
near the
origin, where
is a universal real constant. Such profile differs from the flat profiles obtained in the
same context by Bourgain and Wang in 1997.
|
PDF Access Denied
We have not been able to recognize your IP address
3.138.135.80
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
nonlinear Schrödinger equation, blow-up, soliton, critical
equation
|
Mathematical Subject Classification
Primary: 35B44, 35Q41
Secondary: 37K40
|
Milestones
Received: 30 November 2022
Accepted: 21 May 2023
Published: 2 November 2023
|
© 2023 MSP (Mathematical Sciences
Publishers). |
|