Low regularity global well-posedness for the two-dimensional Zakharov system

Details Low regularity global well-posedness for the two-dimensional Zakharov system Low regularity global well-posedness for the two-dimensional Zakharov system

2008-07-22

arxiv.org/abs/0807.3400v3

Mathematics

Analysis of PDEs

17 pages, updated references, final version to appear in Analysis 29, 1001-1017 (2009)

Scientific paper

The two-dimensional Zakharov system is shown to have a unique global solution
for data without finite energy if the L^2 - norm of the Schr\"odinger part is
small enough. The proof uses a refined I-method originally initiated by
Colliander, Keel, Staffilani, Takaoka and Tao. A polynomial growth bound for
the solution is also given.

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