On the regularity of the flow map associated with the 1D cubic periodic Half-Wave equation
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periodicassociatedcubicequationhalf-waveboundedcannotcontinuous
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We prove that the solution map associated with the $1D$ half-wave cubic equation in the periodic setting cannot be uniformly continuous on bounded sets of the periodic Sobolev spaces $H^s$ with $s\in (1/4, 1/2)$
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