Blow-up solutions of inhomogeneous nonlinear Schrödinger equations on torus Original Research Article

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)∂tu=i(f(x)Δu+∇f(x)·∇u+k(x)|u|2u) Turn MathJax on on T2T2. We present the L2L2-concentration property for general initial data and investigate the L2L2-minimality.