On the Decay in the Energy Space of Solutions to the Damped Magnetic Radial Schrödinger Equation with Non-Local Nonlinearities.

We will explore, in any space dimension d ≥ 4 , the decay in the energy space for the damped magnetic Schrödinger equation with non-local nonlinearity and radial initial data in H 1 (R d) . We will also display new Morawetz identities and corresponding localized Morawetz estimates. [ABSTRACT FROM AUTHOR]