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

Hartmut Pecher
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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.

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Hartmut Pecher. 2005-01-11. Global solutions with infinite energy for the 1-dimensional Zakharov system. https://arxiv.org/abs/math/0409204

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