Profile decompositions of fractional Schrödinger equations with angularly regular data

Yonggeun Cho; Gyeongha Hwang; Soonsik Kwon; Sanghyuk Lee

doi:10.1016/j.jde.2014.01.030

Profile decompositions of fractional Schrödinger equations with angularly regular data

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

8 Scopus citations

Abstract

We study the fractional Schrödinger equations in R1+d, d≥. 3, of order d/(d 1). <. α. <. 2. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results [9] to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.

Original language	English
Pages (from-to)	3011-3037
Number of pages	27
Journal	Journal of Differential Equations
Volume	256
Issue number	8
DOIs	https://doi.org/10.1016/j.jde.2014.01.030
State	Published - 2014.04.15

Keywords

Angularly regular data
Fractional Schrödinger equation
Mass critical nonlinearity
Profile decomposition

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1016/j.jde.2014.01.030

Cite this

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title = "Profile decompositions of fractional Schr{\"o}dinger equations with angularly regular data",

abstract = "We study the fractional Schr{\"o}dinger equations in R1+d, d≥. 3, of order d/(d 1). <. α. <. 2. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results [9] to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.",

keywords = "Angularly regular data, Fractional Schr{\"o}dinger equation, Mass critical nonlinearity, Profile decomposition",

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

year = "2014",

month = apr,

day = "15",

doi = "10.1016/j.jde.2014.01.030",

language = "English",

volume = "256",

pages = "3011--3037",

journal = "Journal of Differential Equations",

issn = "0022-0396",

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T1 - Profile decompositions of fractional Schrödinger equations with angularly regular data

AU - Cho, Yonggeun

AU - Hwang, Gyeongha

AU - Kwon, Soonsik

AU - Lee, Sanghyuk

PY - 2014/4/15

Y1 - 2014/4/15

N2 - We study the fractional Schrödinger equations in R1+d, d≥. 3, of order d/(d 1). <. α. <. 2. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results [9] to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.

AB - We study the fractional Schrödinger equations in R1+d, d≥. 3, of order d/(d 1). <. α. <. 2. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results [9] to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.

KW - Angularly regular data

KW - Fractional Schrödinger equation

KW - Mass critical nonlinearity

KW - Profile decomposition

UR - https://www.scopus.com/pages/publications/84893770172

U2 - 10.1016/j.jde.2014.01.030

DO - 10.1016/j.jde.2014.01.030

M3 - Journal article

AN - SCOPUS:84893770172

SN - 0022-0396

VL - 256

SP - 3011

EP - 3037

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 8

ER -

Profile decompositions of fractional Schrödinger equations with angularly regular data

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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