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

先進理工学部

研究成果: Article

27 引用（Scopus）

抜粋

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.

元の言語	English
ページ（範囲）	1267-1282
ページ数	16
ジャーナル	Communications on Pure and Applied Analysis
巻	13
発行部数	3
DOI	https://doi.org/10.3934/cpaa.2014.13.1267
出版物ステータス	Published - 2014 5 1

ASJC Scopus subject areas

Analysis
Applied Mathematics

文献にアクセス

10.3934/cpaa.2014.13.1267

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これを引用

Cho, Y., Hajaiej, H., Hwang, G., & Ozawa, T. (2014). On the orbital stability of fractional Schrödinger equations. Communications on Pure and Applied Analysis, 13(3), 1267-1282. https://doi.org/10.3934/cpaa.2014.13.1267

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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",

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AU - Cho, Yonggeun

AU - Hajaiej, Hichem

AU - Hwang, Gyeongha

AU - Ozawa, Tohru

PY - 2014/5/1

Y1 - 2014/5/1

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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