Article ID Journal Published Year Pages File Type
4614431 Journal of Mathematical Analysis and Applications 2016 9 Pages PDF
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].

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Physical Sciences and Engineering Mathematics Analysis
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