Interior inverse problem for global conservative multipeakon solutions of the Camassa-Holm equation
Spectral Theory
2023-12-05 v1
Abstract
We consider the interior inverse problem associated with the global conservative {multipeakon} solution of the Camassa-Holm equation. Based on the inverse spectral theory on the half-line and the oscillation property of eigenfunctions, some {(non)}uniqueness results of {the} interior inverse problem are obtained. In addition, we give the trace formula, which connects the global conservative {multipeakon} solution with the corresponding eigenvalues and normalized eigenfunctions.
Keywords
Cite
@article{arxiv.2312.01876,
title = {Interior inverse problem for global conservative multipeakon solutions of the Camassa-Holm equation},
author = {Tao Liu and Kang Lyu},
journal= {arXiv preprint arXiv:2312.01876},
year = {2023}
}