Electron. J. Diff. Equ., Vol. 2013 (2013), No. 132, pp. 1-23.

Construction of wave operator for two-dimensional Klein-Gordon-Schrodinger systems with Yukawa coupling

Kai Tsuruta

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.

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Kai Tsuruta
Department of Applied Mathematical and Computational Sciences
University of Iowa, 14 MacLean Hall
Iowa City, IA 52245, USA
email: kai-tsuruta@uiowa.edu

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