Global solutions of the Klein-Gordon - Schroedinger system with rough data

Details Global solutions of the Klein-Gordon - Schroedinger system with rough data Global solutions of the Klein-Gordon - Schroedinger system with rough data

2002-03-21

arxiv.org/abs/math/0203219v2

Mathematics

Analysis of PDEs

Scientific paper

The Klein-Gordon - Schroedinger system with Yukawa coupling is shown to have
a unique global solution for rough data, which 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.

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