Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2016; 53(2): 615-640

Printed March 31, 2016

https://doi.org/10.4134/BKMS.2016.53.2.615

Copyright © The Korean Mathematical Society.

Finite time blowup for the fourth-order NLS

Yonggeun Cho, Tohru Ozawa, and Chengbo Wang

Chonbuk National University, Waseda University, Zhejiang University

Abstract

Go to

We consider the fourth-order Schr\"odinger equation with focusing inhomogeneous nonlinearity $(-|x|^{-2}|u|^\frac4n u)$ in high space dimensions. Extending Glassey's virial argument, we show the finite time blow-up of solutions when the energy is negative.

Keywords: finite time blowup, mass-critical, fourth order NLS, virial argument

MSC numbers: 35Q55, 35Q40

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS