Blow-up solutions of inhomogeneous nonlinear Schrödinger equations on torus

In this paper, we study blow-up solutions to the Cauchy problem of the inhomogeneous nonlinear Schrödinger equation∂tu=i(f(x)Δu+∇f(x)·∇u+k(x)|u|2u)on T2. We present the L2-concentration property for general initial data and investigate the L2-minimality.