论文标题
弱耗散的Camassa-Holm方程的全球Gevery调节和分析性
Global Gevery regulartiy and analyticity of a weakly dissipative Camassa-Holm equation
论文作者
论文摘要
这项工作涉及对弱耗散性Camassa-Holm系统的Gevrey规律性和分析性。我们首先证明了该方程式的局部Gevery规律性和分析性。然后，我们解散了数据到解决图的连续性。最后，我们以$σ\ geq 1 $的时间获得了该系统的全球gevery规律性。
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 $G_σ$ with $σ\geq 1$ in time.
