Discrete Contin. Dyn. Syst. 37, 2259-2264 (2017) [DOI: 10.3934/dcds.2017098]

On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies

Isaac Alvarez-Romero and Gerald Teschl

We prove that a solution of the Toda lattice cannot decay too fast at two different times unless it is trivial. In fact, we establish this result for the entire Toda and Kac-van Moerbeke hierarchies.

MSC2010: Primary 37K10, 37K40; Secondary 35L05, 37K15
Keywords: Toda lattice, unique continuation

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