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arXiv:math/0501408 [math.AP]AbstractReferencesReviewsResources

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

Hartmut Pecher

Published 2005-01-24, updated 2005-10-24Version 2

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.

Comments: 25 pages. Minor corrections have been made
Categories: math.AP
Subjects: 35Q53, 35Q55
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