Abstract
The Klein-Gordon-Schrödinger system with Yukawa coupling is shown to have a unique global solution for rough data, which do 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.
Citation
Hartmut Pecher. "Global solutions of the Klein-Gordon-Schrödinger system with rough data." Differential Integral Equations 17 (1-2) 179 - 214, 2004. https://doi.org/10.57262/die/1356060479
Information