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Talbot effect for the periodic Benjamin--Ono equation

Chen, Xi
arXiv (All) · Papers
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analysis-of-pdesmathematical-physics
We study the Talbot effect for the periodic Benjamin--Ono equation with rough initial data. Using the smoothing theorem of Gérard--Kappeler--Topalov for Tao's gauge transform, we reduce the singularity analysis to an explicit quadratic gauge profile. For general bounded-variation data we obtain a ra
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