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Construction of KdV Flow: A Unified Approach
Peking Mathematical Journal 2023, 6(2): 469-558
Published: 12 May 2023
Abstract Collect

A KdV flow is constructed on a space whose structure is described in terms of the spectrum of the underlying Schrödinger operators. The space includes the conventional decaying functions and ergodic ones. Especially, any smooth almost periodic function can be initial data for the KdV equation.

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