Affiliation:
1. College of Mathematics Taiyuan University of Technology Taiyuan China
2. Department of Mathematics Jinzhong University Jinzhong China
Abstract
Considered herein is the Cauchy problem for a four‐component Novikov system with peaked solutions. We first investigate the local Gevrey regularity and analyticity of the solutions by a generalized Ovsyannikov theorem. Then, based on the local well‐posedness of this problem, the results with respect to the nonuniformly continuous dependence on initial data of the solutions in Besov spaces
and
are established by constructing new approximate solutions and initial data.
Subject
General Engineering,General Mathematics