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paper

Global solutions of the Klein-Gordon - Schroedinger system with rough data

arXiv:math/0203219

Abstract

The Klein-Gordon - Schroedinger system with Yukawa coupling is shown to have a unique global solution for rough data, which not necessarily have finite energy. The proof uses a generalized bilinear estimate of Strichartz type and Bourgain's idea to split the data into low and high frequency parts.