Lu, Chao et Lu, Jing, Unconditional uniqueness of solution for H.sc critical 4th order NLS in high dimensions, Acta mathematica Sinica. English series (Print) , 34(6), 2018, pp. 1028-1036
In this paper, we study the unconditional uniqueness of solution for the Cauchy problem of H.sc(0.sc<2) critical nonlinear fourth-order Schrödinger equations i. t u+.2u..u = .|u|.u. By employing paraproduct estimates and Strichartz estimates, we prove that unconditional uniqueness of solution holds in Ct(I;H.sc(Rd)) for d . 11 and min{1.,8d.4}..>.(d.4)+(d.4)2+64.4.