Rough solutions of a Schroedinger - Benjamin - Ono system

Mathematics – Analysis of PDEs

Scientific paper

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17 pages

Scientific paper

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.

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