On the orbital stability of fractional Schrödinger equations

Yonggeun Cho; Hichem Hajaiej; Gyeongha Hwang; Tohru Ozawa

doi:10.3934/cpaa.2014.13.1267

On the orbital stability of fractional Schrödinger equations

Yonggeun Cho
, Hichem Hajaiej
, Gyeongha Hwang
, Tohru Ozawa

Department of Mathematics

King Saud University
Seoul National University
Waseda University

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

46 Scopus citations

Abstract

We show the existence of ground state and orbital stability of standing waves of fractional Schr̈odinger equations with power type nonlinearity. For this purpose we establish the uniqueness of weak solutions.

Original language	English
Pages (from-to)	1267-1282
Number of pages	16
Journal	Communications on Pure and Applied Analysis
Volume	13
Issue number	3
DOIs	https://doi.org/10.3934/cpaa.2014.13.1267
State	Published - 2014.05

Keywords

Finite time blowup
Fractional Schrödinger equation
Hartree type nonlinearity
Strichartz estimates

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.3934/cpaa.2014.13.1267

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@article{2e8a935712b6499480cbc5b931d4bd0d,

title = "On the orbital stability of fractional Schr{\"o}dinger equations",

abstract = "We show the existence of ground state and orbital stability of standing waves of fractional Sch{\"r}odinger equations with power type nonlinearity. For this purpose we establish the uniqueness of weak solutions.",

keywords = "Finite time blowup, Fractional Schr{\"o}dinger equation, Hartree type nonlinearity, Strichartz estimates",

author = "Yonggeun Cho and Hichem Hajaiej and Gyeongha Hwang and Tohru Ozawa",

year = "2014",

month = may,

doi = "10.3934/cpaa.2014.13.1267",

language = "English",

volume = "13",

pages = "1267--1282",

journal = "Communications on Pure and Applied Analysis",

issn = "1534-0392",

number = "3",

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TY - JOUR

T1 - On the orbital stability of fractional Schrödinger equations

AU - Cho, Yonggeun

AU - Hajaiej, Hichem

AU - Hwang, Gyeongha

AU - Ozawa, Tohru

PY - 2014/5

Y1 - 2014/5

N2 - We show the existence of ground state and orbital stability of standing waves of fractional Schr̈odinger equations with power type nonlinearity. For this purpose we establish the uniqueness of weak solutions.

AB - We show the existence of ground state and orbital stability of standing waves of fractional Schr̈odinger equations with power type nonlinearity. For this purpose we establish the uniqueness of weak solutions.

KW - Finite time blowup

KW - Fractional Schrödinger equation

KW - Hartree type nonlinearity

KW - Strichartz estimates

UR - https://www.scopus.com/pages/publications/84897767176

U2 - 10.3934/cpaa.2014.13.1267

DO - 10.3934/cpaa.2014.13.1267

M3 - Journal article

AN - SCOPUS:84897767176

SN - 1534-0392

VL - 13

SP - 1267

EP - 1282

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

IS - 3

ER -

On the orbital stability of fractional Schrödinger equations

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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