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

Hartmut Pecher
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Abstract

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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Hartmut Pecher. 2005-10-24. The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data. https://arxiv.org/abs/math/0501408

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