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Caltech/UCLA/USC Joint Analysis Seminar

Tuesday, March 7, 2023
3:30pm to 4:30pm
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Linde Hall 187
Disproving the Deift conjecture: the loss of almost periodicity
Andreia Chapouto, Department of Mathematics, UCLA,

In 2008, Deift conjectured that almost periodic initial data leads to almost periodic solutions to the Korteweg-de Vries equation (KdV). In this talk, we show that this is not always the case. Namely, we construct almost periodic initial data whose KdV evolution remains bounded but loses almost periodicity at a later time, by building on the new observation that the conjecture fails for the Airy equation.

This is joint work with Rowan Killip and Monica Visan.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit