Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on R<sup>d</sup>×T
Listed in
This article is not in any list yet, why not save it to one of your lists.Abstract
We will show, in any space dimension d≥1, 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 derive also new bilinear Morawetz identities and corresponding localized Morawetz estimates.