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

作者：Lu Jing^*; Xu Yushun

来源：Journal of Mathematical Analysis and Applications, 2016, 436(2): 1214-1222.

DOI：10.1016/j.jmaa.2015.10.077

• Unconditional uniqueness
• Paraproduct estimates
• Besov spaces
• Nonlinear Schrodinger equation

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].

• 出版日期2016-4-15
• 单位中国工程物理研究院