Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 132, pp. 1-23.

Title: Construction of wave operator for two-dimensional 
       Klein-Gordon-Schrodinger systems with Yukawa coupling
        
Author: Kai Tsuruta (Univ. of Iowa, Iowa City, IA, USA)

Abstract:
 We prove the existence of the wave operator for the
 Klein-Gordon-Schrodinger system with Yukawa coupling.
 This non-linearity type is below Strichartz scaling, and therefore
 classic perturbation methods will fail in any Strichartz space.
 Instead, we follow the "first iteration method" to handle these
 critical non-linearities.

Submitted November 2, 2012. Published May 29, 2013.
Math Subject Classifications: 35Q40, 35Q55.
Key Words: Klein-Gordon-Schrodinger; Yukawa coupling; wave operator.