File Download

There are no files associated with this item.

  • Find it @ UNIST can give you direct access to the published full text of this article. (UNISTARs only)

Views & Downloads

Detailed Information

Cited time in webofscience Cited time in scopus
Metadata Downloads

On finite time blow-up for the mass-critical Hartree equations

Author(s)
Cho, YonggeunHwang, GyeonghaKwon, SoonsikLee, Sanghyuk
Issued Date
2015-06
DOI
10.1017/S030821051300142X
URI
https://scholarworks.unist.ac.kr/handle/201301/22299
Fulltext
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/on-finite-time-blowup-for-the-masscritical-hartree-equations/6F7F330A4810F1CD60EFDAFA253F2320
Citation
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v.145, no.3, pp.467 - 479
Abstract
We consider the fractional Schrodinger equations with focusing Hartree-type nonlinearities. When the energy is negative, we show that the solution blows up in a finite time. For this purpose, based on Glassey's argument, we obtain a virial-type inequality.
Publisher
CAMBRIDGE UNIV PRESS
ISSN
0308-2105

qrcode

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.