Global solutions of the KleinGordonSchrdinger system with rough data in R 2 + 1

Abstract In this paper, we consider the Klein–Gordon–Schrodinger system with quadratic (Yakuwa) coupling and cubic autointeractions in R 2 + 1 , and prove the existence and uniqueness of global solution for rough data. The techniques to be used are adapted from a general scheme originally introduced by J. Bourgain to split the data into the low and high frequency parts.

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