Global Gevery regulartiy and analyticity of a weakly dissipative Camassa-Holm equation

Autor: Meng, Zhiying, Yin, Zhaoyang
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: This work is concerned with the Gevrey regularity and analyticity of the solution to a weakly dissipative Camassa-Holm system. We first demonstrate the local Gevery regularity and analyticity of this equation. Then, we disscuss the continuity of the data-to-solution map. Finally, we obtain the global Gevery regularity of this system in Gevery class $G_{\sigma}$ with $\sigma\geq 1$ in time.
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Databáze: arXiv