Bounded solutions of KdV: Uniqueness and the loss of almost periodicity
Bounded solutions of KdV: Uniqueness and the loss of almost periodicity
We address two pressing questions in the theory of the Korteweg–de Vries (KdV) equation. First, we show the uniqueness of solutions to KdV that are merely bounded, without any further decay, regularity, periodicity, or almost periodicity assumptions. The second question, emphasized by Deift, regards whether almost periodic initial data leads …