The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data

Details The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data

2005-01-24

arxiv.org/abs/math/0501408v2

Mathematics

Analysis of PDEs

25 pages. Minor corrections have been made

Scientific paper

The Cauchy problem for a coupled system of the Schroedinger and the KdV
equation is shown to be globally well-posed for data with infinite energy. The
proof uses refined bilinear Strichartz estimates and the I-method introduced by
Colliander, Keel, Staffilani, Takaoka, and Tao.

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