Analyticity of the solutions of the Cauchy problem associated with a μ-Camassa-Holm equation with higher-order nonlinearity
By constructing a scale of decreasing Banach spaces and using the abstact Cauchy-Kowalevski theorem,analyticity of the solutions to Cauchy problem associated with a μ-Camassa-Holm equation with high-order nonlinearity is studied in this paper.The results can be directly applied to μ-Camassa-Holm equation and Hunter-Saxton equation.
μ-Camassa-Holm equation with high-order nonlinearityabstract Cauchy-Kowalevski theoremanalyticity
万方数据
维普
