Well-posedness for a class of generalized Zakharov system

作者：You, Shujun^*; Ning, Xiaoqi

来源：Journal of Nonlinear Sciences and Applications, 2017, 10(4): 1289-1302.

DOI：10.22436/jnsa.010.04.01

• Global solutions
• Zakharov equations
• well-posedness

In this paper, we study the existence and uniqueness of the global smooth solution for the initial value problem of generalized Zakharov equations in dimension two. By means of a priori integral estimates and Galerkin method, we first construct the existence of global solution with some conditions. Furthermore, we prove that the global solution is unique.

• 出版日期2017
• 单位怀化学院