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paper

Rough solutions of a Schroedinger - Benjamin - Ono system

arXiv:math/0511038

Abstract

The Cauchy problem for a coupled Schroedinger and Benjamin - Ono system is shown to be globally well-posed for a class of data without finite energy. The proof uses the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.

17 pages