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

Authors
  • Stefanov, Atanas
Type
Preprint
Publication Date
Mar 07, 2014
Submission Date
Feb 25, 2014
Identifiers
arXiv ID: 1402.6198
Source
arXiv
License
Yellow
External links

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.

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