Energy concentration of the focusing energy-critical fNLS

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Cho, Yonggeun^1,2  Hwang, Gyeongha³  Shim, Yong-Sun⁴ 

[1] Chonbuk Natl Univ, Dept Math, Jeonju 561756, South Korea

[2] Chonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 561756, South Korea

[3] Natl Taiwan Univ, Natl Ctr Theoret Sci, Div Math, Taipei 10617, Taiwan

[4] POSTECH, Dept Math, Pohang 790784, South Korea

关键词: Global well-posedness;    Blowup;    Energy concentration;    Focusing energy-critical fNLS;    Concentration compactness;    Energy trapping;   

DOI  :  10.1016/j.jmaa.2015.12.060

来源: Elsevier

【 摘 要 】

We consider the fractional nonlinear Schrodinger equation (fNLS) with non-local dispersion vertical bar del vertical bar(alpha) and focusing energy-critical Hartree type nonlinearity [-(vertical bar x vertical bar(-2 alpha) * vertical bar u vertical bar(2))u]. We consider the energy -concentration phenomena of radial blowup solutions near the maximal existence time. We use the concentration -compactness approach of [19] for confined case and kinetic energy trapping approach of [21] for unconfined case. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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