Differential and Integral Equations
- Differential Integral Equations
- Volume 17, Number 1-2 (2004), 179-214.
Global solutions of the Klein-Gordon-Schrödinger system with rough data
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.
Differential Integral Equations Volume 17, Number 1-2 (2004), 179-214.
First available in Project Euclid: 21 December 2012
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Mathematical Reviews number (MathSciNet)
Pecher, Hartmut. Global solutions of the Klein-Gordon-Schrödinger system with rough data. Differential Integral Equations 17 (2004), no. 1-2, 179--214. https://projecteuclid.org/euclid.die/1356060479.