Local well-posedness for the periodic mKdV in $H^{1/4+}$

Atanas Stefanov

Local well-posedness for the periodic mKdV in $H^{1/4+}$

Analysis of PDEs 2014-03-10 v2

Authors: Atanas Stefanov

Abstract

We study the mKdV equation with periodic boundary conditions. We establish low regularity well -posedness in $H^{\frac{1}{4}+}(T)$ . The proof involves a non-linear, solution dependent gauge transformation, similar to the one considered in Nakanishi-Takaoka-Tsutsumi.

Keywords

mkdv equation periodic boundary conditions local well-posedness low regularity sobolev space gauge transformation

Cite

@article{arxiv.1402.6198,
  title  = {Local well-posedness for the periodic mKdV in $H^{1/4+}$},
  author = {Atanas Stefanov},
  journal= {arXiv preprint arXiv:1402.6198},
  year   = {2014}
}

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