Local well-posedness for hyperbolic-elliptic Ishimori equation

Yuzhao Wang

Local well-posedness for hyperbolic-elliptic Ishimori equation

Analysis of PDEs 2009-08-28 v1

Authors: Yuzhao Wang

Abstract

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.

Keywords

well-posedness initial-boundary value problems

Cite

@article{arxiv.0908.4018,
  title  = {Local well-posedness for hyperbolic-elliptic Ishimori equation},
  author = {Yuzhao Wang},
  journal= {arXiv preprint arXiv:0908.4018},
  year   = {2009}
}

Comments

30 pages

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