On the orbital stability of fractional Schrödinger equations

Yonggeun Cho, Hichem Hajaiej, Gyeongha Hwang, Tohru Ozawa

    Research output: Contribution to journalArticle

    24 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 languageEnglish
    Pages (from-to)1267-1282
    Number of pages16
    JournalCommunications on Pure and Applied Analysis
    Volume13
    Issue number3
    DOIs
    Publication statusPublished - 2014 May

    Fingerprint

    Schrodinger equation
    Orbital Stability
    Schrodinger Equation
    Standing Wave
    Ground state
    Ground State
    Weak Solution
    Fractional
    Uniqueness
    Nonlinearity

    Keywords

    • Finite time blowup
    • Fractional Schrödinger equation
    • Hartree type nonlinearity
    • Strichartz estimates

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    On the orbital stability of fractional Schrödinger equations. / Cho, Yonggeun; Hajaiej, Hichem; Hwang, Gyeongha; Ozawa, Tohru.

    In: Communications on Pure and Applied Analysis, Vol. 13, No. 3, 05.2014, p. 1267-1282.

    Research output: Contribution to journalArticle

    Cho, Yonggeun ; Hajaiej, Hichem ; Hwang, Gyeongha ; Ozawa, Tohru. / On the orbital stability of fractional Schrödinger equations. In: Communications on Pure and Applied Analysis. 2014 ; Vol. 13, No. 3. pp. 1267-1282.
    @article{41568016b5eb416381acfac0e3d31a5a,
    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 Schr̈odinger 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 = "5",
    doi = "10.3934/cpaa.2014.13.1267",
    language = "English",
    volume = "13",
    pages = "1267--1282",
    journal = "Communications on Pure and Applied Analysis",
    issn = "1534-0392",
    publisher = "American Institute of Mathematical Sciences",
    number = "3",

    }

    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 - http://www.scopus.com/inward/record.url?scp=84897767176&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84897767176&partnerID=8YFLogxK

    U2 - 10.3934/cpaa.2014.13.1267

    DO - 10.3934/cpaa.2014.13.1267

    M3 - Article

    VL - 13

    SP - 1267

    EP - 1282

    JO - Communications on Pure and Applied Analysis

    JF - Communications on Pure and Applied Analysis

    SN - 1534-0392

    IS - 3

    ER -