Geodesic
Global solutions with infinite energy for the one-dimensional Zakharov system
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a259,
     author = {Pecher, Hartmut},
     title = {Global solutions with infinite energy for the one-dimensional {Zakharov} system},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a259/}
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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__a259/