Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614431 | Journal of Mathematical Analysis and Applications | 2016 | 9 Pages |
Abstract
In this paper, we study the unconditional uniqueness of solution for the Cauchy problem of H˙sc (0≤sc<10≤sc<1) critical nonlinear Schrödinger equations (NLS). By employing paraproduct estimates and Strichartz estimates, we prove that unconditional uniqueness of solution holds in Ct(I;H˙sc(Rd)) for d≥6d≥6. This extends earlier results by Yin Yin Su Win and Y. Tsutsumi [19] and Cazenave [3].
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jing Lu, Yushun Xu,