@article{89c24c79f49a4ef1b2187dcb3e8f311a,
title = "Finite time blowup for the fourth-order NLS",
abstract = "We consider the fourth-order Schr{\"o}dinger equation with focusing inhomogeneous nonlinearity (−|x|−2|u|4/n u) in high space dimensions. Extending Glassey{\textquoteright}s virial argument, we show the finite time blowup of solutions when the energy is negative.",
keywords = "Finite time blowup, Fourth order NLS, Mass-critical, Virial argument",
author = "Yonggeun Cho and Tohru Ozawa and Chengbo Wang",
note = "Funding Information: The authors would like to thank referee for his/her careful reading and valuable comments. Y. Cho was supported by NRF grant 2010-0007550 (Republic of Korea). C. Wang was supported by Zhejiang Provincial Natural Science Foundation of China LR12A01002, the Fundamental Research Funds for the Central Universities, NSFC 11301478 and J1210038 Publisher Copyright: {\textcopyright} 2016 Korean Mathematical Society. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",
year = "2016",
doi = "10.4134/BKMS.2016.53.2.615",
language = "English",
volume = "53",
pages = "615--640",
journal = "Bulletin of the Korean Mathematical Society",
issn = "1015-8634",
publisher = "Korean Mathematical Society",
number = "2",
}