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

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

2004-09-13

arxiv.org/abs/math/0409204v5

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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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