Well-posedness for the stochastic higher order modified Camassa-Holm equation

作者：Chen, Yong^*; Shi, Lei

来源：Nonlinear Analysis-Theory Methods & Applications, 2014, 102: 242-250.

DOI：10.1016/j.na.2014.02.017

• Stochastic higher order modified Camassa-Holm equation
• Bourgain spaces
• Well-posedness

In this article, the stochastic higher order modified Camassa-Holm equation with additive noise is considered. Using the Fourier restriction norm method and bilinear estimates, the local existence and uniqueness result is proved by the contraction mapping principle. The global existence of the H-1(R) solution of this problem is also obtained by energy inequality.

• 出版日期2014-6
• 单位南京农业大学; 浙江理工大学