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Local well-posedness for hyperbolic-elliptic Ishimori equation

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 Added by Yuzhao Wang
 Publication date 2009
  fields
and research's language is English
 Authors Yuzhao Wang




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In this paper we consider the hyperbolic-elliptic Ishimori initial-value problem. We prove that such system is locally well-posed for small data in $H^{s}$ level space, for $s> 3/2$. The new ingredient is that we develop the methods of Ionescu and Kenig cite{IK} and cite{IK2} to approach the problem in a perturbative way.



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