二维修正的Zakharov方程的适定性

Well-Posedness for a Two-Dimensional Modified Zakharov Equations

考虑一类修正的Zakharov方程的Cauchy问题的适定性.通过一系列的先验估计,利用Galerkin方法,对于二维修正的Zakharov方程的Cauchy问题得到了整体光滑解的存在性和惟一性.

This paper considers the existence and uniqueness of the solution to the Cauchy problem for a class of modified Zakharov equation in（2＋1） dimensions.By virtue of a priori integral estimates and Galerkin method,this paper establish global in time existence and uniqueness of the solution to the problem.