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most citedLow regularity local well-posedness of the Derivative Nonlinear Schrödinger Equation with periodic initial data

104 citations · 109 across the 4 of their papers we have counts for

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math.AP2009★ 1 cited

On the hierarchies of higher order mKdV and KdV equations

Axel Gruenrock

The Cauchy problem for the higher order equations in the mKdV hierarchy is investigated with data in the spaces defined by the norm $$\n{v_0}{\hat{H}^r_s(\R)} :=…