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The Initial Boundary Value Problem for Modified Zakharov System
Department of Mathematics, South China Agricultural University, Guangzhou, China
Department of Mathematics, South China Agricultural University, Guangzhou, China
- 1 Department of Mathematics, South China Agricultural University, Guangzhou, China
- 2 Department of Mathematics, South China Agricultural University, Guangzhou, China
Advances in Pure Mathematics·Volume 05 (2015)·Pages 278–285·Published 3 April 2015·DOI10.4236/apm.2015.55028
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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.
KeywordsModified Zakharov SystemGalerkin MethodA Prior Estimate
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