Almost Periodicity in Time of Solutions of the Toda Lattice

Autor: Binder, Ilia, Damanik, David, Lukic, Milivoje, VandenBoom, Tom
Rok vydání: 2016
Předmět:
Zdroj: C. R. Math. Acad. Sci. Soc. R. Can. 40 (2018), 1-28
Druh dokumentu: Working Paper
Popis: We study an initial value problem for the Toda lattice with almost periodic initial data. We consider initial data for which the associated Jacobi operator is absolutely continuous and has a spectrum satisfying a Craig-type condition, and show the boundedness and almost periodicity in time and space of solutions.
Comment: 24 pages; new version better reflects current literature
Databáze: arXiv