Unconditional uniqueness of solution for (H)over dotsc critical NLS in high dimensions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:436

Article

Lu, Jing¹  Xu, Yushun^2,3 

[1] China Acad Engn Phys, Grad Sch, POB 2101, Beijing 100088, Peoples R China

[2] Univ Paris Est, CERM ENPC, Cite Descartes, Marne La Vallee, France

[3] Univ Paris Est, LAMA UMR 8050, Cite Descartes, Marne La Vallee, France

关键词: Unconditional uniqueness;    Paraproduct estimates;    Besov spaces;    Nonlinear Schrodinger equation;   

DOI  :  10.1016/j.jmaa.2015.10.077

来源: Elsevier

【 摘 要 】

In this paper, we study the unconditional uniqueness of solution for the Cauchy problem of (H)over dot(sc) (0 <= s(c) < 1) critical nonlinear Schrodinger equations (NLS). By employing paraproduct estimates and Strichartz estimates, we prove that unconditional uniqueness of solution holds in C-t(I; (H)over dot(sc)(R-d)) for d >= 6. This extends earlier results by Yin Yin Su Win and Y. Tsutsumi [19] and Cazenave [3]. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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