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

Authors
Type
Preprint
Publication Date
Mar 07, 2014
Submission Date
Feb 25, 2014
Identifiers
arXiv ID: 1402.6198
Source
arXiv
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.