On Peller’s characterization of trace class Hankel operators and smoothness of KdV solutions

Rybkin, Alexei

doi:10.1090/proc/13844

On Peller’s characterization of trace class Hankel operators and smoothness of KdV solutions
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Proc. Amer. Math. Soc. 146 (2018), 1627-1637 Request permission

Abstract:

In the context of the Cauchy problem for the Korteweg-de Vries equation we put forward a new effective method to link smoothness of the solution with the rate of decay of the initial data. Our approach is based on the Peller characterization of trace class Hankel operators.

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