The Initial Boundary Value Problem for Modified Zakharov System

Shaomei  Fang; Lang  Li

doi:10.4236/apm.2015.55028

Lang Li, Shaomei Fang^*

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.

Keywords: Modified Zakharov System, Galerkin Method, A Prior Estimate

Cite this paper: Li, L. and Fang, S. (2015) The Initial Boundary Value Problem for Modified Zakharov System. Advances in Pure Mathematics, 5, 278-285. doi: 10.4236/apm.2015.55028.

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