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.
Show me the PDF file (303 KB), TEX file, and other files for this article.
| Kai Tsuruta |
Department of Applied Mathematical and Computational Sciences
University of Iowa, 14 MacLean Hall
Iowa City, IA 52245, USA
Return to the EJDE web page