Construction of KdV flow
Spectral Theory
2021-08-03 v1 Dynamical Systems
Abstract
A KdV flow is constructed on a space whose structure is described in terms of the spectrum of the underlying Schr\"odinger 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
Cite
@article{arxiv.2107.05428,
title = {Construction of KdV flow},
author = {Shinichi Kotani},
journal= {arXiv preprint arXiv:2107.05428},
year = {2021}
}
Comments
74 pages