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This paper is concerned with the wellposedness of the nonlinear Klein-Gordon-Schrodiger (NKGS) equations under multi-interactions in 3 dimensions. By using the vanishing viscosity techniques and the compactness arguments, we establish the existence of the global finite energy solutions for the NKGS equations. In addition, by introducing a time piecewise function with integral form, we prove uniqueness and continuous dependence on the initial data. (C) 2014 Elsevier Inc. All rights reserved.
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