THE CAUCHY PROBLEM OF THE MODIFIED KAWAHARA EQUATION

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Modified Kawahara equation Cauchy problem Littlewood-Paley decomposition Besov space.
• 年，卷（期）: 2006,（2）
• 页码范围: 126-146
• 页数: 21页
• 分类号: O175.29|O175.4
• 语种: 英文

摘要

In this paper, we consider the local and global solutions for the modified Kawahara equation with data in the homogeneous and nonhomogeneous Besov space and the scattering result for small data. The techniques to be used are adapted from Kato's smoothing effect and the maximal function (in time) estimate for the free Kawahara operator e-γt(З)5x.