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

preprint2014arXivOpen access

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

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Local well-posedness for the periodic mKdV in H1/4+H^{1/4+}H1/4+

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