Continuous dependence of Cauchy problem for nonlinear Schrödinger equation in HsHs

We consider the Cauchy problem for the nonlinear Schrödinger equation i∂tu+Δu=λ0u+λ1|u|αui∂tu+Δu=λ0u+λ1|u|αu in RNRN, where λ0,λ1∈Cλ0,λ1∈C, in HsHs subcritical and critical case: 0<α⩽4N−2s when 1