Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on Rd×T
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We will show, in any space dimension d≥3, the decay and scattering in the energy space for the solution to the damped nonlinear Schrödinger equation posed on Rd×T and initial data in H1(Rd×T). We will also derive new bilinear Morawetz identities and corresponding localized Morawetz estimates.