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arXiv · 1507.05250

Gevrey regularity and analyticity for Camassa-Holm type systems

Wei Luo·Zhaoyang Yin
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Abstract

In this paper we mainly investigate the Cauchy problem of some Camassa-Holm type systems. By constructing a new auxiliary function, we present a generalized Ovsyannikov theorem. By using this theorem and the basic properties of Sobolev-Gevrey spaces, we prove the Gevrey regularity and analyticity of these systems. Moreover, we obtain a lower bound of the lifespan and the continuity of the data-to-solution map.

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Wei Luo, Zhaoyang Yin. 2015-07-19. Gevrey regularity and analyticity for Camassa-Holm type systems. https://arxiv.org/abs/1507.05250

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