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arXiv · 2211.10576

Zero-filter limit for the Camassa-Holm equation in Sobolev spaces

Jinlu Li·Yanghai Yu·Weipeng Zhu
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Abstract

The aim of this paper is to answer the question left in \cite{GL} (Math. Z. (2015) 281). We prove that the zero-filter limit of the Camassa-Holm equation is the Burgers equation in the same topology of Sobolev spaces as the initial data.

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Jinlu Li, Yanghai Yu, Weipeng Zhu. 2022-11-19. Zero-filter limit for the Camassa-Holm equation in Sobolev spaces. https://arxiv.org/abs/2211.10576

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