Geodesic
Global solutions with infinite energy for the one-dimensional Zakharov system
Electronic journal of differential equations, Tome 2005 (2005)
The 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.
Classification : 35Q55, 35L05
Keywords: Zakharov system, global solutions, Fourier restriction norm method 
@article{EJDE_2005__2005__a159,
     author = {Pecher,  Hartmut},
     title = {Global solutions with infinite energy for the one-dimensional {Zakharov} system},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1070.35092},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a159/}
}
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Pecher,  Hartmut. Global solutions with infinite energy for the one-dimensional Zakharov system. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a159/