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Original Article

Construction of KdV Flow: A Unified Approach

Nanjing University, 22 Hankou Road, Nanjing 210093, China
Osaka University, 1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
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Abstract

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.

Keywords

KdV equationWeyl functionErgodic process

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Peking Mathematical Journal
Volume 6 Issue 2,
September 2023
Pages 469-558
DOI: 10.1007/s42543-022-00058-w

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Cite this article:
Kotani, S. Construction of KdV Flow: A Unified Approach. Peking Math J 6, 469-558 (2023). https://doi.org/10.1007/s42543-022-00058-w

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Received: 03 August 2021
Revised: 30 November 2022
Accepted: 10 December 2022
Published: 12 May 2023
© Peking University 2023