Autor:	Damanik, David, Lukić, Milivoje, Volberg, Alexander, Yuditskii, Peter
Rok vydání:	2021
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs Mathematics - Complex Variables Mathematics - Dynamical Systems Mathematics - Functional Analysis
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
Externí odkaz:	http://arxiv.org/abs/2111.09345 Zobrazit plný text záznamu View this record from Arxiv