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

Yonggeun Cho; Gyeongha Hwang; Soonsik Kwon; Sanghyuk Lee

doi:10.1017/S030821051300142X

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

Yonggeun Cho
, Gyeongha Hwang^*
, Soonsik Kwon
, Sanghyuk Lee

^*Corresponding author for this work

Department of Mathematics

Ulsan National Institute of Science and Technology
Korea Advanced Institute of Science and Technology
Seoul National University

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

40 Scopus citations

Abstract

We consider the fractional Schrödinger 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.

Original language	English
Pages (from-to)	467-479
Number of pages	13
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	145
Issue number	3
DOIs	https://doi.org/10.1017/S030821051300142X
State	Published - 2015.06.3

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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@article{f4d34def20c24085bb593176035866ae,

title = "On finite time blow-up for the mass-critical Hartree equations",

abstract = "We consider the fractional Schr{\"o}dinger 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.",

author = "Yonggeun Cho and Gyeongha Hwang and Soonsik Kwon and Sanghyuk Lee",

note = "Publisher Copyright: Copyright {\textcopyright} Royal Society of Edinburgh 2015.",

year = "2015",

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day = "3",

doi = "10.1017/S030821051300142X",

language = "English",

volume = "145",

pages = "467--479",

journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

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TY - JOUR

T1 - On finite time blow-up for the mass-critical Hartree equations

AU - Cho, Yonggeun

AU - Hwang, Gyeongha

AU - Kwon, Soonsik

AU - Lee, Sanghyuk

PY - 2015/6/3

Y1 - 2015/6/3

N2 - We consider the fractional Schrödinger 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.

AB - We consider the fractional Schrödinger 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.

UR - https://www.scopus.com/pages/publications/84930458564

U2 - 10.1017/S030821051300142X

DO - 10.1017/S030821051300142X

M3 - Journal article

AN - SCOPUS:84930458564

SN - 0308-2105

VL - 145

SP - 467

EP - 479

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 3

ER -

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

Abstract

Quacquarelli Symonds(QS) Subject Topics

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