On the radius of spatial analyticity for the higher order nonlinear dispersive equation

Mathematica Bohemica

关键词: higher order nonlinear dispersive equation;   

DOI  :  10.21136/MB.2021.0096-20

来源: DOAJ

【 摘 要 】

In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data $u_0$. The analytic initial data can be extended as holomorphic functions in a strip around the $x$-axis. By Gevrey approximate conservation law, we prove the existence of the global solutions, which improve earlier results of Z. Zhang, Z. Liu, M. Sun, S. Li, (2019).

【 授权许可】

Unknown