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 Volume 2, Number 1, 2012, Pages 11-28                                                                DOI：10.11948/2012002 Cauchy problem for the Zakharov System Arising from Ion-Acoustic Modes with low regularity data Boling Guo,Lijia Han,Zaihui Gan Keywords:Zaklarov system Abstract: We prove local well-posedness results for the Zakharov System Arising from Ion-Acoustic Modes in two spacial dimension with large initial data in low regularity Sobolev space $(\dot{H}^1 \bigcup H^{\frac{1}{2}})\times L^2 \times H^{-1}$.  Using ”derivative sharing”, the local well-posedness results in $(\dot{H}^1 \bigcup H^{\frac{1}{2}-\delta})\times H^{\delta} \times H^{-1+\delta}$  are also obtained, for any  0 $\leq \delta \leq 1/2$. PDF      Download reader