Interior inverse problem for global conservative multipeakon solutions of the Camassa-Holm equation

Tao Liu; Kang Lyu

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arXiv · 2312.01876

Interior inverse problem for global conservative multipeakon solutions of the Camassa-Holm equation

Tao Liu·Kang Lyu

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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.

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BibTeX RIS

Tao Liu, Kang Lyu. 2023-12-04. Interior inverse problem for global conservative multipeakon solutions of the Camassa-Holm equation. https://arxiv.org/abs/2312.01876

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