Pecher, Hartmut2021-05-202021-05-202005-04-05Pecher, H. (2005). Global solutions with infinite energy for the one-dimensional Zakharov system. <i>Electronic Journal of Differential Equations, 2005</i>(41), pp. 1-18.1072-6691https://hdl.handle.net/10877/13615The one-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 Strichartz estimate.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalZakharov systemGlobal solutionsFourier restriction norm methodArticle