The Deift Conjecture: A Program to Construct a Counterexample
Autor: | Damanik, David, Lukić, Milivoje, Volberg, Alexander, Yuditskii, Peter |
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Rok vydání: | 2021 |
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Druh dokumentu: | Working Paper |
Popis: | We describe a program to construct a counterexample to the Deift conjecture, that is, an almost periodic function whose evolution under the KdV equation is not almost periodic in time. The approach is based on a dichotomy found by Volberg and Yuditskii in their solution of the Kotani problem, which states that there exists an analytic condition that distinguishes between almost periodic and non-almost periodic reflectionless potentials with resolvent set given by a Widom domain. Comment: 41 pages |
Databáze: | arXiv |
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