Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations

Yonggeun Cho; Gyeongha Hwang; Soonsik Kwon; Sanghyuk Lee

doi:10.1016/j.na.2013.03.002

Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations

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

^*Corresponding author for this work

Department of Mathematics

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

46 Scopus citations

Abstract

We study, under the radial symmetry assumption, the solutions to the fractional Schrödinger equations of critical nonlinearity in R1 ^+d,d≥2, with Lévy index 2d/(2d-1)<α;<2. We first prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlinearity.

Original language	English
Pages (from-to)	12-29
Number of pages	18
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	86
DOIs	https://doi.org/10.1016/j.na.2013.03.002
State	Published - 2013

Keywords

Blowup phenomena
Fractional Schrödinger equation
Mass critical nonlinearity
Profile decomposition

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1016/j.na.2013.03.002

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@article{852ad2b916bf42b8adac900fbc676c40,

title = "Profile decompositions and blowup phenomena of mass critical fractional Schr{\"o}dinger equations",

abstract = "We study, under the radial symmetry assumption, the solutions to the fractional Schr{\"o}dinger equations of critical nonlinearity in R1 +d,d≥2, with L{\'e}vy index 2d/(2d-1)<α;<2. We first prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlinearity.",

keywords = "Blowup phenomena, Fractional Schr{\"o}dinger equation, Mass critical nonlinearity, Profile decomposition",

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

year = "2013",

doi = "10.1016/j.na.2013.03.002",

language = "English",

volume = "86",

pages = "12--29",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

}

TY - JOUR

T1 - Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations

AU - Cho, Yonggeun

AU - Hwang, Gyeongha

AU - Kwon, Soonsik

AU - Lee, Sanghyuk

PY - 2013

Y1 - 2013

N2 - We study, under the radial symmetry assumption, the solutions to the fractional Schrödinger equations of critical nonlinearity in R1 +d,d≥2, with Lévy index 2d/(2d-1)<α;<2. We first prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlinearity.

AB - We study, under the radial symmetry assumption, the solutions to the fractional Schrödinger equations of critical nonlinearity in R1 +d,d≥2, with Lévy index 2d/(2d-1)<α;<2. We first prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlinearity.

KW - Blowup phenomena

KW - Fractional Schrödinger equation

KW - Mass critical nonlinearity

KW - Profile decomposition

UR - https://www.scopus.com/pages/publications/84876187128

U2 - 10.1016/j.na.2013.03.002

DO - 10.1016/j.na.2013.03.002

M3 - Journal article

AN - SCOPUS:84876187128

SN - 0362-546X

VL - 86

SP - 12

EP - 29

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

ER -

Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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