Construction of KdV Flow: A Unified Approach
Shinichi Kotani
Peking Mathematical Journal ›› 2023, Vol. 6 ›› Issue (2) : 469 -558.
Construction of KdV Flow: A Unified Approach
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.
Japan Society for the Promotion of Science(26400128)
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