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

2008/07/22 by Fang, Daoyuan, Pecher, Hartmut, Zhong, Sijia · 1 citation
#35L70 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0807.3400

Abstract

The two-dimensional Zakharov system is shown to have a unique global solution for data without finite energy if the L² - norm of the Schrödinger 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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• Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)

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