Finite time blowup for the fourth-order NLS

Yonggeun Cho; Tohru Ozawa; Chengbo Wang

doi:10.4134/BKMS.2016.53.2.615

Finite time blowup for the fourth-order NLS

Yonggeun Cho
, Tohru Ozawa
, Chengbo Wang

Department of Mathematics

Waseda University
Zhejiang University

Research output: Contribution to journal › Journal article › peer-review

20 Scopus citations

Abstract

We consider the fourth-order Schrödinger equation with focusing inhomogeneous nonlinearity (−|x|⁻²|u|^4/n u) in high space dimensions. Extending Glassey’s virial argument, we show the finite time blowup of solutions when the energy is negative.

Original language	English
Pages (from-to)	615-640
Number of pages	26
Journal	Bulletin of the Korean Mathematical Society
Volume	53
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.2016.53.2.615
State	Published - 2016

Keywords

Finite time blowup
Fourth order NLS
Mass-critical
Virial argument

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.4134/BKMS.2016.53.2.615

Cite this

@article{2d22ed73913441b8917927525ac806a9,

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 = "Publisher Copyright: {\textcopyright} 2016 Korean Mathematical Society.",

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",

number = "2",

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TY - JOUR

T1 - Finite time blowup for the fourth-order NLS

AU - Cho, Yonggeun

AU - Ozawa, Tohru

AU - Wang, Chengbo

PY - 2016

Y1 - 2016

N2 - We consider the fourth-order Schrödinger equation with focusing inhomogeneous nonlinearity (−|x|−2|u|4/n u) in high space dimensions. Extending Glassey’s virial argument, we show the finite time blowup of solutions when the energy is negative.

AB - We consider the fourth-order Schrödinger equation with focusing inhomogeneous nonlinearity (−|x|−2|u|4/n u) in high space dimensions. Extending Glassey’s virial argument, we show the finite time blowup of solutions when the energy is negative.

KW - Finite time blowup

KW - Fourth order NLS

KW - Mass-critical

KW - Virial argument

UR - https://www.scopus.com/pages/publications/84962040456

U2 - 10.4134/BKMS.2016.53.2.615

DO - 10.4134/BKMS.2016.53.2.615

M3 - Journal article

AN - SCOPUS:84962040456

SN - 1015-8634

VL - 53

SP - 615

EP - 640

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 2

ER -

Finite time blowup for the fourth-order NLS

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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