Almost Periodicity in Time of Solutions of the Toda Lattice

Abstract

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.

24 pages; new version better reflects current literature

References in corpus (1)

• Almost Periodicity in Time of Solutions of the KdV Equation

Cited by in corpus (2)

• Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II
• Asymptotics of spectral gaps of quasi-periodic Schrödinger operators