Morawetz and Interaction Morawetz Identities for Systems of N-defocusingWeakly Coupled NLS Equations on Rd × T in Low Space Dimensions.

We perform new Morawetz identities, interaction Morawetz identities and their corresponding inequalities for the system of N nonlinear defocusing Schrodinger equations (NLS), with N ≥ 2, ... Here, for all ... and .... are coupling parameters, moreover we require that the nonlinearity parameter p is both L²(Rd × T)-supercritical and H¹(Rd × T)-subcritical (or at most H¹(Rd × T)-critical). [ABSTRACT FROM AUTHOR]