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We consider Schrodinger equation in R2+1 with nonlinear scalar potential. The potentials are time-independent or determined as solutions to inhomogeneous wave equations. By constructing a modified propagator, we derive Kato-type smoothing estimates for the nonlinear Schrodinger (NLS) equation. With the help of these results, we prove the unique solvability of the nonlinear Klein-Gordon-Schrodinger (NKGS) system for all time in the energy space. (C) 2014 Elsevier Inc. All rights reserved.
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