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

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

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
Publication status	Published - 2014 May

Keywords

Finite time blowup
Fractional Schrödinger equation
Hartree type nonlinearity
Strichartz estimates

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.3934/cpaa.2014.13.1267

Cite this

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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",

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pages = "1267--1282",

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publisher = "American Institute of Mathematical Sciences",

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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

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AN - SCOPUS:84897767176

SN - 1534-0392

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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

ASJC Scopus subject areas

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