摘要
In this paper, we study the unconditional uniqueness of solution for the Cauchy problem of H^·^Sc（0≤Sc〈2） critical nonlinear fourth-order Schrodinger equations iδtu＋Δ^2u-εu=λ｜u｜^αu.By employing paraproduct estimates and Strichartz estimates, we prove that unconditional uniqueness of solution holds in Ct（I;H^·^Sc（R^d）））for d≥11 and min {1^-,8/d-4}≥a〉-（d-4）＋√（d-4）^2＋64/4.
In this paper, we study the unconditional uniqueness of solution for the Cauchy problem of H^·^Sc（0≤Sc〈2） critical nonlinear fourth-order Schrodinger equations iδtu＋Δ^2u-εu=λ｜u｜^αu.By employing paraproduct estimates and Strichartz estimates, we prove that unconditional uniqueness of solution holds in Ct（I;H^·^Sc（R^d）））for d≥11 and min {1^-,8/d-4}≥a〉-（d-4）＋√（d-4）^2＋64/4.
基金
Supported by China Postdoctoral Science Foundation(Grant No.2017M620660)
