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paper

Global solutions with infinite energy for the 1-dimensional Zakharov system

arXiv:math/0409204

Abstract

The 1-dimensional Zakharov system is shown to have a unique global solution for data without finite energy. The proof uses the " I-method " introduced by Colliander, Keel, Staffilani, Takaoka, and Tao in connection with a refined bilinear Strichatz estimate.

20 pages