Almost Periodicity in Time of Solutions of the Toda Lattice
classification
🧮 math.SP
math-phmath.MP
keywords
almostinitialdatalatticeperiodicitysolutionstimetoda
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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.
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