TITLE:
The Initial Boundary Value Problem for Modified Zakharov System
AUTHORS:
Lang Li, Shaomei Fang
KEYWORDS:
Modified Zakharov System, Galerkin Method, A Prior Estimate
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.5,
April
16,
2015
ABSTRACT: In this paper, we consider the initial boudary value problem for modified
Zakharov system in 3 dimensions with small initial condition. By using the
continuity lemma and the linear interpolation theory, together with the
properties of Sobolev spaces and the Galerkin method, we obtain the existence
and uniqueness of the global solution.