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

Hartmut Pecher
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Abstract

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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Hartmut Pecher. 2003-10-22. Global solutions of the Klein-Gordon - Schroedinger system with rough data. https://arxiv.org/abs/math/0203219

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