On the regularity of the flow map associated with the 1D cubic periodic Half-Wave equation

V. Georgiev; N. Tzvetkov; N. Visciglia

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arXiv · 1508.03496

On the regularity of the flow map associated with the 1D cubic periodic Half-Wave equation

V. Georgiev·N. Tzvetkov·N. Visciglia

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Abstract

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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V. Georgiev, N. Tzvetkov, N. Visciglia. 2015-08-14. On the regularity of the flow map associated with the 1D cubic periodic Half-Wave equation. https://arxiv.org/abs/1508.03496

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