Local well-posedness for the periodic mKdV in H^(1/4+)
classification
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mkdvperiodicboundaryconditionsconsidereddependentequationestablish
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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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